You're thinking of all the times the West waged war, while I was thinking of the times that it didn't. First in my mind were the countries joining NATO after the end of the Cold War: Hungary, the Czech Republic, Poland, Estonia, Latvia, Lithuania, Slovenia, Slovakia, Bulgaria, Romania, Croatia, Albania.
Those countries became allies, not through force, but because we were able to devise a mutually beneficial relationship.
Personally, I'd attribute that more to the European Union. But yes, NATO certainly helped. Only shows that there are no simple answers. I only want to point out that NATO, and the EU for that matter, despite all the good the did in Europe are by no means the "good" benefactors in other countries. Also, just because I think some of Russia's actions are understandable, I don't think they are even remotely justified or acceptable. Same goes for the war on terror, the EUs handling of refugees, basically all NATO interventions with the possible exception of Yugoslavia (not the Kosovo) when they tried, and kind of failed, to prevent genocide.
Those countries became allies, not through force, but because we were able to devise a mutually beneficial relationship.