We had a chance to integrate Russia as a real partner...
What the hell are you talking about?
They went from being the enemy to getting most favored nation trading status, admission into the G7 which became the G8, etc.
But they threw it all away when they annexed Crimea and sent the “little green men” into eastern Ukraine.
MFN doesn't mean squat in a country with no capital, unless it's able to run a predatory mercantilist economy like China.
Real engagement would have meant a Marshall-like plan for the former Communist states with Europe and the US kicking in huge amounts for infrastructure and recapitalization of their economies. It would have also meant engaging the Russians diplomatically a lot more than we did. Instead we kicked them to curb and pretended they didn't exist. We could have had them as real allies against China, but we screwed the pooch completely.