F-15 pilots are good at what they do, but I've pummeled too many of them in my life to think they're any better at ANY air-to-air mission than F-16s. The only real advantage (and it's a significant advantage!) I've seen over the years is more missiles to chuck down range.
Of course, now that I'm a Raptor pilot, I'm supposed to scoff everyone. So consider yourselves scoffed!
Good luck with the recovery, JJ.