Let’s remember that one of the reasons we still have NATO bases in Europe and other locations around the world is to make the logistical needs of the U.S. military easier. We pre-position a lot of equipment and troops in these locations to make the projection of U.S. POWER easier.
If we need to get involved militarily in the future, regardless of where, it’s far more difficult if we have to start the engagement and troop movement solely from the U.S.
I think former Soviet satellite countries will still welcome a US presence even without NATO. The New Europe is very hospitable to the US.