No, we shouldn’t get involved in a war with Russia, and we shouldn’t send troops to Georgia. The cat is more or less out of the bag on this one.

But that doesn’t mean we must accept Russia’s hegemony in the region. If there are other states seeking NATO membership, the process should be accelerated dramatically, including Ukraine. I also wonder whether it isn’t time to reevaluate Finland’s post-WWII neutrality treaty.
These discussions always break down in to Hawks (“Nuke ’em”) and Doves (“Give peace a chance”). Neither solution sounds good to me at all. Russia needs to, obviously, stop invading sovereign states, but neither can the world afford a World War at this point.
Russia would not invade a NATO member country. If we need to “contain” them again, better start.