Is the so-called Islamic State in Iraq and Syria (ISIS)/Islamic State in Iraq and the Levant (ISIL) / Islamic State (IS) / Al-Dawlah Al-Islamiyah fe Al-Iraq wa Al-Sham (DAISH/DAESH) active in post-EuroMaidan Ukraine? The answer is not exact. In other words, the answer is both yes and no.
Then again, what is the ISIS/ISIL/IS/DAISH/DAESH? It is a loosely knit band of militias, just like its predecessor Al-Qaeda. Included in its network are groups from the Caucasus, which have been fighting in Syria and Iraq. Now they are in Ukraine and using it as a steppingstone into Europe.
The Agents of Chaos and the War for Eurasia
The conflicts in Ukraine, Syria, Iraq, Libya, and Yemen are all fronts in a multi-dimensional war being waged by the US and its allies. This multi-dimensional war aims to encircle Eurasia. China, Iran, and Russia are the main targets.
The US also has an order of operations with which to takeout these countries. Iran is first, followed by Russia, with China as the last part of the Eurasian set comprised of this «Eurasian Triple Entente». It is no coincidence that the conflicts in Ukraine, Syria, Iraq, Libya, and Yemen are near the borders of Iran and Russia, because Tehran and Moscow are the nearer term targets of Washington.
In the same vein as the interlinked nature of the conflicts in Ukraine, Syria, Iraq, Libya, and Yemen, there is also a connection between the violent, racist, xenophobic, and sectarian forces that have been unleashed as «agents of chaos». It is no mere coincidence that Newsweek had a headline saying «Ukrainian Nationalist Volunteers Committing ‘ISIS-Style’ War Crimes» on September 10, 2014.  Whether they know it or not, these deviant forces, whether they are the ultra-nationalist Pravy Sektor militias in Ukraine or the head-cutting gangs of Al-Nusra and the ISIS/ISIL/IS/DAISH/DAESH in Syria and Iraq, all serve one master. These agents of chaos are unleashing different waves of constructive chaos to prevent Eurasian integration and a world order that is free of US dictates.
The «constructive chaos» that is being unleashed in Eurasia will eventually wreck havoc in India. If New Delhi thinks that it will be left alone, it is foolishly mistaken. The same agents of chaos will plague it as well. It too is a target like China, Iran, and Russia.
Strange Alliances: Alliance between the ISIL/DAESH and Ukraine’s Ultra-Nationalists?
It should not come as a surprise that the different agents of chaos are loosely aligned. They serve the same master and they have the same enemies, one of which is the Russian Federation.
It is in this context that Marcin Mamon has reported about the ISIS/ISIL/IS/DAISH/DAESH connection in Ukraine. He even explains that some of the fighters from the Caucasus feel that they have a debt to Ukrainians like Oleksandr Muzychko. 
Mamon is a Polish documentary filmmaker who has produced a number of documentaries about Chechnya, such as The Smell of Paradise with Mariusz Pilis in 2005, for the British Broadcasting Corporation’s Storyville program. He is also openly sympathetic to their cause of the Chechen separatists against Russia in the North Caucasus.
Mamon’s travels to Afghanistan and his interaction with Chechen separatist fighters have resulted in the Polish filmmaker having contacts with the ISIS/ISIL/IS/DAISH/DAESH inside Syria and Turkey. This extraordinarily led him down a new path to Ukraine.
«I didn’t even know, at that point, whom I was meeting. I knew only that Khalid, my contact in Turkey with the Islamic State [ISIS/ISIL/IS/DAISH/DAESH], had told me his ‘brothers’ were in Ukraine, and I could trust them», he writes about his meeting in a «potholed street in Kiev, east of the Dnieper River, in an area known as the Left Bank. «  In an earlier article Mamon explains that these so-called «‘brothers’ are members of ISIS and other underground Islamic organizations» who «are on every continent, and in almost every country, and now they are in Ukraine, too».  He also explains that «Khalid, who uses a pseudonym, leads the Islamic State’s underground branch in Istanbul. He came from Syria to help control the flood of volunteers arriving in Turkey from all over the world, wanting to join the global jihad. Now, he wanted to put me in touch with Ruslan, a ‘brother’ fighting with Muslims in Ukraine». 
Ukrainian ultra-nationalists like Muzychko also became so-called «brothers» and accepted into this network. Mamon explains that the Chechen fighters accepted him «even though he never converted to Islam» and that «Muzyczko, along with other Ukrainian volunteers, joined Chechen fighters and took part in the first Chechen war against Russia» where they «commanded a branch of Ukrainian volunteers, called ‘Viking,’ which fought under famed Chechen militant leader Shamil Basayev». 
Why is the ISIL manning Private Battalions in Ukraine?
What does it say when Chechen separatists and the transnational network of so-called «brothers» tied to the ISIS/ISIL/IS/DAISH/DAESH are being recruited or used to fill the ranks of private militias being using by Ukrainian oligarchs? This is a very important question. It also clearly demonstrates how these elements are agents of chaos.
Marcin Mamon travelled to Ukraine to meet the Chechen fighter Isa Munayev. Munayev’s background is explained thus: «Even before he arrived in Ukraine, Munayev was well-known. He fought against Russian forces in both Chechen wars; in the second, he was the commander of the war in Grozny. After the Chechen capital was captured by Russian forces between 1999 and 2000, Munayev and his men took refuge in the mountains. He fought from there until 2005, when he was seriously injured and went to Europe for treatment. Munayev lived in Denmark until 2014. Then war broke out in Ukraine, and he decided it was time to fight the Russians again». 
The above is an important passage, because it illustrates how the US and EU have supported militants fighting against Russia. In the US and the EU, the refuge that Denmark gave Isa Munayev is not questioned, whereas the allegations leveled against Moscow for supporting the soldiers of the Donetsk People’s Republic and Lugansk People’s Republic are seen as criminal. Why the double standards? Why is it okay for the US, EU, and NATO to support separatist movements and militias in other parts of the world, but criticized and forbidden for other countries to do the same?
«An older man in a leather jacket introduced me to Munayev. ‘Our good brother Khalid recommended this man,’ the man said. (Khalid is today one of the most important leaders of the Islamic State. Khalid and Munayev knew each other from years spent fighting together in Chechnya», Marcin Mamon explains about the connections between the Chechen separatists and ISIS/ISIL/IS/Daish/Daesh. 
Munayev has come to Ukraine to establish «one of what would become several dozen private battalions that sprang up to fight on the side of the Ukrainian government, operating separately from the military».  His militia was named the Dzhokhar Dudayev battalion, which was named after the separatist president of Chechnya.