Modern fighter jets give pilots helmets which contain a 360 degree view of the battlefield to show them where the airplanes are. The computers which acquire the location of the other airplanes use radar and visual spectrum. What other way can the human or computer find out position direction and velocity of enemy jets who jam radar and camouflage themselves?
History channel has some modern Pilots talking about dogfight speeds of mach .9, radar, and radar stealth (sending back scrambled radar messages) to enemy craft is the deciding factor in a dogfight:
What other way can the human or computer find out position direction and velocity of enemy jets who jam radar and camouflage themselves?
Heat and contrail's.
Also, I suspect the best solution to deal with advancing US warplanes is simply a vary large low cost drone fleet. Picture that fight but replace the second squad with 10,000 drones each of which has a single air to air or air to ground missile. They don't even need to use radar with enough eyes you can just triangulate position's and distance.
Stealthy aircraft (i.e. virtually every fighter in development by Russia, China, or the West) are specifically designed to mask their heat signature, and contrails are solved by changing altitude.
Yea, that's actually a big part of why they don't go as fast. Push the mock number to high and your air frame literally starts to glow (in IR) and there is not much you can do about it.
That youtube video is propaganda. Note how almost every single missile fired by f-22 hits, while enemy missiles lose their target constantly. It doesn't tell why U.S. missiles would be better. Also I find the explanation why f-22 would be better in dogfight to be very lacking. Vectored thrust is not going to cancel effects of high wing loading or slow rate of roll. Or it might but then it's something more harrier style.
History channel has some modern Pilots talking about dogfight speeds of mach .9, radar, and radar stealth (sending back scrambled radar messages) to enemy craft is the deciding factor in a dogfight:
http://www.youtube.com/watch?v=vnUwxDhE1kU&t=9m9s