Generally speaking, yes. Of course, there's pro-Ukrainian sentiments in the east and pro-Russian in the west.
One thing the Western media gets wrong, as we howl for blood behind the safety of our keyboards is that by and large, these people don't really hate each other. Russian pop acts play sold-out shows in Kiev and Ukrainian pop acts play sold out shows in Moscow. This is why we're seeing footage of Russian military firing warning shots above the heads of protestors. They're fighting their cousins.
It would be as if we went to war against Canada. Most in the military would not want to just start shooting Canadians. These are people that we could drink a beer and talk sports with.
I'd say 90% of Ukraine just wants to be able to go to work in the morning, earn a decent wage, and buy consumer goods. They don't really care who sits in a palace in Kiev as long as these simple needs are met.
I suggest you watch Winter On Fire on Netflix about the 2013 revolution in Kiev. It’s not quite so simple.
Just out of curiosity, to test your theory, Jews and Arabs are cousins. Our languages, customs and thinking are very similar. So why have we been killing each other for the past century on a regular basis?
Sometimes cousins do get lethal. Canada and the US did in 1812. North and South states went at it pretty bad in 1861, as did the Missouri Bushwhackers, which included Frank and Jesse James and their cousins the Youngers, and Kansas Jayhawkers, among whom was John Brown. There is no known kinship between the Hatfields and the McCoys, however. But they still went at it for about forty years.