We are *rotating* troops out of Iraq, for crying out loud! If we were stretched thin we wouldn't be able to have the luxury of rotating seasoned troops out of combat.
Nor do we even have to maintain our present force levels in Iraq. We could pull most or all of our troops out of Iraq to smash Syria or Iran or even North Korea. Re-taking any lost territory in Iraq would be child's play for our military, once we finished whatever hot spots had flared up elsewhere.
So we don't need more troops.
We control the entire world's oceans, so we don't need more ships, either.
We also control the world's skies, and while the F-14 is great, it is still just an aerial platform for launching anti-aircraft and anti-ground ordinance. We've got lots of such aerial platforms, some of them rather stealthy (unlike the F-14), and others don't even have a pilot to worry about losing.
And you still fail to get it about the F-14. The Phoenix missile system which ONLY the F-14 can carry is the premier fire & forget missile for long-range high-speed intercepts. So your postulated 'alternates' don't wash. There is nothing else currently, nor on the drawing boards that can do the mission the F-14/Phoenix system currently does.