Thanks, Mike. That's what I wanted to know.
Doing a little math, that means that we occupied Germany for about four or five years after "Victory in Europe", and Japan for about seven years. That's a useful framework for comparison. And, as you point out, we've never actually "pulled the troops out" of Japan or Germany.
It's interesting that those who want us to immediately pull our troops out of Iraq aren't also screaming for us to pull the troops out of Japan, Germany, Cuba, Korea, Guam, etc., etc., etc.