The problem with simulated combat is that you don't take into account how horrible the missiles actually can be, especially in DACT. The AIM-7 (the primary BVR weapon against fighter-sized targets on the F-14) has (had) a pretty abysmal track record, and if the F-14 was in close enough to shoot AIM-9s, it was generally at a disadvantage to everything smaller than it (F-15 included) especially the older F-14s with TF-30s. The AIM-54 was alright against non-maneuvering large RCS targets (i.e. tankers and the like), but nobody in their right mind would be actually using them against a fighter sized target at close range.
Every radar on every plane is unique. Some are more capable than others. The F-14s was great for it's time, but it's long range, as you noted, could often be a detriment as well.
Had the F-14 carried AIM-120s, it's maybe a different story. Without that missile available to it, though, it's going to lose every time against an AIM-120 equipped aircraft in a no-holds-barred BVR engagement.
Being able to outrun other missiles is great, but if their launch range is greater than yours (which was the case once the AA-10 showed up in the early 80s), you're always going to be running, especially when you have to support a shot like you do with the AIM-7 and you can't just launch and leave.
Of course I'm comparing F-15Cs, F-16Cs and the like against the F-14, not the older A models which probably were pretty comparable to the F-14 in a lot of ways, especially when they both carried nothing but AIM-7s. The F-14 would probably have a bit of an advantage with it's long look (at least as long as he was below the guys he's shooting at, since look down/ shoot down wasn't a strength of the F-14).
Just out of curiosity, what is it that you do for a living?