None of the hornets really have the thrust/weight to fully capitalize on their high AOA capability. Even a well flown F-15E has a chance in a dogfight against a hornet if he survives the first 1.5 turns. All current F-15s have an edge against every SU-27 variant I know of, in terms of cockpit ergonomics and system integration. For example, while the mig-29 and SU-27s had helmet mounted cuing systems before any USAF fighters did, the USAF helmet mounted sights are a lot closer to having a hud taped to your face. The original Russian design helmet mounted sights were little more than a "dumb" aiming reticle, and the plane simply knew where to aim the missile based on where the pilot was looking. There wasn't much feedback to the pilot on what was actually going on. The US system was a decade (or more) later and has a ton of features. You can basically cue any system through the sight, validate a lock and see if you're in shot parameters, and shoot, just by looking through the helmet and pushing a couple of buttons on the stick and/or throttle. I don't think you can do that with any production flanker, and that doesn't begin to go into some of the *other* systems integration features of the F-15 (slightly different between F-15Cs and F-15Es, but they both have some neat capabilities).
Plus, the AMRAAM and aim-9x are deathsticks, plain and simple. I can't express how impressed I was with the AMRAAM when I had a chance to dig into the data we have on actual live firings (both tests and in combat). There are better missiles on paper, but none have the proven track record over dozens (hundreds?) of shots like the AMRAAM does. Even the old aim-7 has received upgrades and is still in service because it is still a very good missile. AA-10 and AA-11 are likewise great missiles though, so it may come down to who can run through their identification matrix, cue systems, and take the first shot while denying a shot to the adversary. Classic missile defensive maneuvers haven't changed much, but the ability to shoot from goofy angles has certainly improved for everyone. We don't have true rearward firing missiles like in the movie firefox, but we're not that far away from that sort of ability (shooting someone who isn't right in front of you).
The ability to look out the window at someone and "wish them dead" is here, now, and we didn't have to wait for the JSF to do it. That is a tactical advantage that goes beyond mere single-ship maneuvering capability. A talented pilot who can fully utilize his aircraft's systems is generally worth more than a few extra degrees per second of turn rate, and USAF systems are integrated to the point where even an average pilot can be really effective and act quickly on information gained from multiple sources.