Yes, I know what the real thing can do. I studied it, briefed it, controlled the fights, went to the ACMI de-briefs, and was stationed in Florida for two years where we controlled live-fire missile testing against drone F-4s by just about every fast-moving fighter squadron in the US, with some Navy and Marine squadrons visiting every now and then as well. Look up Combat Archer.
I've seen the Eagle take shots from what I thought were crazy ranges, only to actually get the kill. I'm not saying it should be like this, I'm simply saying that, in my opinion, ED may have hamstrung the AMRAAM a bit too much even in "simming" the missile.
Range IS important because without range, it's not BVR. Range determines tactics. Range is THE most important factor in all of this. It's needed to determine your shots as well as your adversaries' shots and when to retrograde or drag out. Doing a perch setup, going cold as a flight and getting a spike inventory and then pitching in all have to be done with strict adherence to RANGE.
I see what you're saying, however, and I agree that the missile's radar tracking needs to be buffed more than the ranges, but at the same time having to wait until 15 miles to launch an AMRAAM with an APG-63 is a lot like not even having BVR tactics at all.