Nazis can only exist in countries with zero Jews, like Germany in the 1920s.
https://archive.ph/sjRyd
"I have many relatives in Russia. They start telling me that we have a lot of Nazis," says Dmytro. "I tell them, if this is true, then I am also a Nazi. You can kill me too."
Impeccable logic.
I'm pretty sure they're full on secessionists. Like you said, they never voted to join Russia, but they wanted sovereignty, not mere autonomy.
https://en.wikipedia.org/wiki/2014_Donbas_status_referendums
https://en.wikipedia.org/wiki/Donetsk_People%27s_Republic
https://en.wikipedia.org/wiki/Luhansk_People%27s_Republic