Funny, the world had the same thought in 1936.
That's the purpose of NATO. In exchange for giving up some autonomy to the US (letting the USA build military bases in your territory, not acting overtly against our interests), and paying us for our fancy weapons, NATO members get the immeasurably valuable power of a nuclear red line border, and protection by the most powerful military the world has ever seen. It's a very, very good deal, and the most stabilizing force in history.
Given the NATO membership of most of Europe, the only wars possible in Europe are small, regional conflicts between non-member states.
You are right on the former, incorrect on the latter. Invasion looks different now that warfare has changed. You might have been invaded and not even know it. When was the last time you looked at your ssh logs?
That proves nothing about the present.