There was nothing "American-led" about the fact that societies that had been forced by Russia into submission for the entirety of the Cold War rushed toward whatever alliances they could to prevent the same thing from ever happening again. Poland even threatened to mobilize the Polish-Americans to tank Clinton's re-election if he tried to block Poland's entry into NATO, that's how "American-led" it was.
Not to mention how ridiculous the narrative of "provocation" is, I can almost hear "provokatsiya, provokatsiya" in Putin's weak and whiny old-man voice. Entry into NATO meant that NATO spent billions upon billions introducing proper civilian oversight of militaries in the new members, and other key features of first world countries. Former RU foreign minister Kozyrev hits the nail when he calls it free security for Russia.