The Iran-Iraq War suggests that the F-14 would certainly be a threat (it's AIM-54A as well) to the F-teen series. And Iranian pilots are very experienced. It certainly wouldn't be so easy against USAF/USN jets and crews, but the F-14A can't be written off as "not a threat" so easily.
http://www.acig.org/artman/publish/article_205.shtml
http://www.acig.org/artman/publish/article_212.shtml
http://www.acig.org/artman/publish/article_214.shtml
PD