The F-15 would not be going into any engagement blind, it would have AWACS supports as I assume the MiG-31 would have. The AMRAAM may not have the R-40’s range but it can get the Eagle close enough to be moderately safe and have a decent kill probablility. The trick would be to get the Foxhound into a dogfight. The Eagle cannot go up to 80,000′ but the Foxhound is not going to fly/fight at that level. It would probably top out at 60K-65K where the Eagle has a much better chance of a shot. I’m still not buying the Mach 2.8 top speed for the MiG-31. I have heard it is more like Mach 2.4 and that is something the Eagle can handle.

the mig-25 can cruise at 90K feets . the mig-31 will be able to do much better and at that altitude A2A missiles simply dont work thus making the mig-31 invulnerable to other fighter and i have explained before Mig-31 with it’s superior acceleration and speed can beat any fighter quite easy even in WVR combat if it used in the right way

The Mig-31 is not without compromises. If you wanna go SuperSonic, well then watch you mission range decrease likewise.. even those 16.000kg of fuel wont keep you in the air for long With the AB lit up.

Lets be honest, the Foxhound does play an important role in maintaining and controling Russias airspace, especially in the Far-East where AirBases and other Strategic sites are few and far between in such vast region.
The Mig-31 is a great assets for defence, playing on network from Land station, AWACS, and Flankers.

But as far as using the Mig-31 in any offensive campagin, its weakness would be exploited quite frequently..

the disadvantage of mig-31 is that it quite expensive and have bad turning ability , however like i have explained turning isnot the most important thing in dogfight since WW II , also the range of mig-31 is quite impressive, even at mach 2.35 it can still have combat radius of 720 km with internal fuel , alot better than any other fighter ( especially the one like Mig-35 , Typhoon , gripen or F-35 )

Mach 2.83 with external fuel tanks? Got a source? I think the MiG-31 is a great interceptor, but wouldn’t want to have to do ACM against an F-15, F-16, F/A-18, F-22, Mirage, Typhoon or whatever with it.

mig-31 is not good at turning so in traditional dogfight it will lose , but battles in WWII shown that aircraft with superior speed and acceleration will more likely to win against agile aircraft ( P-40 , hell cat win against Zero ), the mig-31 is obviously the fastest fighter nowadays and with thrust/weight of 1.30 i dont think any other fighter could beat it in acceleration =>dominance in WVR
and probably i dont have to explain why no other fighter can beat it in BVR