There are direct quotes from Nixon and Reagan that claims this to be true. That is enough evidence for me.
In terms of cold war presidents itching to start wars, no.
Akshually there is, and WW3 has been going on since 2010. (Mostly in places that aren't Europe.)
War has still been going on since 1945, much earlier if not always, so akshually WW2 never ended or is just how it's always been? (mostly in places that are not "first world" / The West)