From a bit of research and what Eagl has posted, I think it's safe to say that the infrastructure of the USAF and the efficiency of the integrated systems onboard US fighters gives a high chance of an Eagle winning an Eagle vs Flanker fight.
I read an account of MiG-29s the Germans acquired after 1991 vs some F-16Cs. The F-16 pilots stated they had a tough time in the dogfight:
"In a low-speed fight, fighting the Fulcrum is similar to fighting an F-18 Hornet," explained Capt. Mike McCoy of the 510th. "But the Fulcrum has a thrust advantage over the Hornet. An F-18 can really crank its nose around if you get into a slow-speed fight, but it has to lose altitude to regain the energy, which allows us to get on top of them. The MiG has about the same nose authority at slow speeds, but it can regain energy much faster..."
but the pilot in the MiG had a higher workload:
"The MiG is harder to fly than the F-16," said Sparrow. "The Soviet airframe is great, but the avionics are not user friendly. After flying in the backseat of the Fulcrum, I got a feel for how spoiled we are in the F-16. I always felt good about the F-16, but I wouldn't trade flying the F-16 for any other aircraft, foreign or domestic.
"The Fulcrum doesn't have the crisp movements of an F-16," Sparrow continued. "You need to be an octopus in the MiG-29 to work the avionics. Those German pilots have it tough. Just to get a simple lock on and fire a missile may take a half dozen hands-off switches or so. We can do the same with a flick of the thumb while we are looking at the HUD."
Of course, things have likely changed now. Su-27s are different now, especially after being modernized into the Su-27SM in 2006 with addition of more efficient radar, RWR, countermeasures, IRST system, advancements like the R-77 "Amraamski" on modern Russian fighters etc. Though, as is often seen and what eagl mentioned, the Russians seem to go for the dogfight while the US strives for the most efficient killing machine. The Russian military machine though, still seems to be lacking in resources. An example is that they've really only got 2 front-line high performance fighter designs in service and only 1 IFR tanker. Hence, they've been selling their planes to everyone.
