Azov, that "eeevil Nazi" group played up by the Russkies, has about 300 or so members. I do not think that, in a country of 49 million (or was it 79 million?) people, that there is anybody really afraid that someone from Azov is going to come and get them.
As for war zone. The actual area still under control of the Russkies is maybe only half the size it was when the Russians made the first grab. Those areas under Ukrainian control have been returning to normal over the past couple of months, and there are no more mass graves being filled up by the Russian terrorists as they were before.
Also, its a bit skewed in the question. Not wanting the nation to split apart is not the same as acceptance of the Kiev putsch.
Putsch is a term used by the Russkies, who live in a dictatorship themselves, and other freaks who support Moscow. Yanukovych fled the country after he lost the confidence of his own cabinet, party and people, and it became clear that no one in authority was going to protect him. So, he made the choice to flee to a foreign enemy.
Poroshenko, in the meantime, was elected by a supermajority of the people in a democratic election. His only crime is being known as a moderate and being a Chocolate kingpin. From the election results. The only places that did not vote is the area in Grey, then under Russkie control:
https://pbs.twimg.com/media/Bozbx39IcAAZVi3.png