Every conflict can be compared on some fronts with other wars. Communist rule left nations with the same ethnic issues and political cultures, so it's not strange to see similarities between the Yugoslavian wars and other post-communist conflicts.
It's somewhat hard to label factions within a country 'left' or 'right' on the political scale as those scales have different meanings and different ranges in every political system (country). Azov Regiment is pretty clearly a Nationalist unit, but that leaves us with deciding with that means within the context of Ukraine. One example I'd name is that nationalist movements in Ukraine usually carry elements of anti-semitism in them which leads to outsiders labeling them as (Neo)National Socialists, ignoring the fact that Ukrainian and eastern european society in general is already more anti-semitic then the west. That's not to say it's morally okay for them to be anti-semetic, or racist, or homophobic, naturally.
As nationalist and 'scary' Azov Regiment may look, they're also without a doubt the most succesful volunteer formation on the Ukrainian side and I do believe that almost all of the controversy surrounding them is based on their looks or their political actions outside the warzone, not on any actual unlawful behavior in the war. Though as much as I respect their effort in the war, I do hope their political party will fail miserably.