Arming Ukraine isn't about beating Russia, it's about further raising the costs to Russia.
Russia has engaged in an unprovoked invasion of a neighboring nation. You don't let that stand if you want other nations that neighbor Russia to take your security commitments seriously.
Not to mention that this actually represents a good opportunity for us. We can expand NATO, we can create new economic ties with Russian client states, etc, all while weakening Russia economically and militarily. Putin made a mistake by overreaching in his invasion and now we can make him pay. I hope we do.
Astoundingly well indoctrinated in the ways of Neocon foreign policy.
Raising the cost to Russia? See Merkel's comments, above. What about the cost to Ukraine? Are they there to bleed for us?
Russia's actions are not unprovoked. It seems obvious that Ukrainian overtures to NATO were the provocation along with a lot of anti-Russian raving from Ukrainian Nationalists who have arrived too close to power for Russian comfort or the comfort of ethnic/linguistic Russian Ukrainians. It would deprive Russia of their strategic Black Sea Base. At best, Sevastopol would become the equivalent of Gitmo, which is to say useless as a military asset.
The reasons for upheaval in Ukraine are mostly economic- interest payments, mostly to the West, cripple development. It's like Greece, except with ethnic division. Resurgent ultra nationalism among western Ukrainians does nothing to make ethnic Russians in the east really want to remain Ukrainian. Among them, only the separatists have shown willingness to fight, with many becoming refugees in Russia. Imagine that.
Putin hasn't overreached- It was NATO & the EU who did that, playing Ukraine as a pawn in an extension of the Cold War you seem to think was and still is a good idea. When this is all said and done, the folly of that will be obvious, particularly for Ukraine.
Putin can maintain the status quo at will, expand it if he desires, and there's not a fucking thing the West can do about it other than whine, see if the Ukrainians are willing to sacrifice themselves on the altar of NATO ambitions. They may just be that stupid.
The Kiev govt needs to quit listening to their western "friends", cut their losses, even if it means ceding further territory. Or they can shed a lot of blood to end up likely worse. They can't escalate to win at war, but maybe they can win at peace if they set their minds to it.