But would Russia want a strong united Westernized Ukraine on their doorstep, or keep all of Ukraine divided and weak.
They would want it to be a Małorussia (little Russia), just another part of Russia. Most Russians, even moderates want that and the reasons are not jingoistic -- Kiev is the birthplace of the "Rus" peoples -- the 3 eastern slavic peoples look to the land of the Ukraine as their birthplace, so for Russians it is logically in their heads, part of Russia.
You and I don't agree with them, neither do most people who think of themselves as Ukrainians
If they can't get this, then most Russian people would want a friendly Ukraine -- Russian people wouldn't mind a Western-oriented Ukraine unless it was blatantly anti-Russia. The Russian government on the other hand would see this as the revival of the Polish-Lithuanian commonwealth, their 1000 year enemy.