I agree with you topol-m. Too many people have the misconception that stealth means "invisbile". People must understand that it meanst it's just more difficult to detect, and it has to get closer (compared to the F-15 for example) to the radar to be detected. Besides, Russians have always been good with IR-detection and optical systems, so radar isn't the only thing you have to worry about. A F-22 at full burner is quite visible in some spectrums.
Besides, quite often when I see pictures F-22s that have intercepted Tu-95s they are carrying external fuel tanks (bye bye stealthiness... hello nice round droptanks).
Comparing the F-22 to the Su-47 is quite silly, and most reasons are listed in this thread. One is a tech demonstrator/aerodynamic test while the other is a highly classified air superiority fighter. In some sense they are both sort of relics from the cold war (uh oh.. danger of being flamed here)... but they are.
The Su-47-idea with forward sweep has been mentioned in aviation literature for a very long time (at least since the 1980s. And the germans even tried it in WW2) and the concept of a pure dogfighter/air superiority fighter is getting obsolete.
A single-role aircraft (yes, I know they've adapted the Raptor to carry JDAM now, but that wasn't the original intention) only really fits into the WW3 scenario where thousands of aircraft would clash in the skies over Germany/central Europe and the Pacific. In such a scenario, it's ok to have "fighters" and "bombers" and "attack aircraft" and "tank busters", but in a "normal" war, most countries can't afford having single-role aircraft anymore. Ofcourse, the US is different because their military budget is larger than most nations national budget, but even they must feel the burden of having to service so many different combat aircraft in even limited operations. (B-1, B-2, B-52, F-15E, F-16C, F-18, F-22, A-10 etc. etc.)
That said, I think that in pure air-to-air combat, the F-22 would come out on top against most adversaries most of the time because it's one of the newest planes in any arsenal (ergo: more technologically advanced).
However, it's impossible to predict because combat effectiveness depends on more than top speed and the number of bullets in the 20mm and how well a given aircraft can perform impressive airshow-maneuvers (hint: Russian aircraft).
In a full-scale war (Conventional "Red Storm Rising"-style WW3), the 380(?) F-22s wouldn't make up for the maybe thousands of older Migs and Sukhois they would face. Sure, the kill ratio might be 10:1 or even 20:1, but i believe lots of F-22s would fall out of the sky in a prolonged conflict. At least to ground fire (as mentioned by topol-m) and the odd encounter with 4.5gen-5gen russians.
I just wonder one thing about your post topol-m: How do you know the Su-35 has a more powerful radar than the F-22? I've never seen reliable specs for any of them...
Oh well, this has been a long rant, but I have so many opinions :)
All things said: The F-22 looks so awesome... It has to be good ;)