They have a sizable part of the population that is pro-Russian, but it is smaller than it has ever been numbers-wise (at least based on a couple of polls recently showing feelings toward the west / interest in NATO membership at an all time high). Which makes sense when you consider how Russia's actions in the east have damaged the economy...
Either way, I don't think anyone would dispute that we aren't going to war in Ukraine, or that Ukraine will not be extended NATO membership, but I see absolutely zero problem arming them and doing what we can to help fight off subjugation to the best of their abilities.