DP,
The F-22s are not “invisible to radar”. They have a much smaller signature, but are not invisible. There are also other methods of tracking them – infrared, for instance, and visually. And the Russians would be waiting for them, especially after the first attack. If they are carrying bunker busters, that would limit their air-to-air capability and their range. And the tankers aren’t “stealthy” – the Russians could track those to get an idea where the F-22s were coming from/going. Flying from bases in Iraq/Turkey is all well and good, but get those nations involved in the conflict, which (very likely) neither wants to be at this point. And, of course, then the airfields they fly from would be “valid” targets for Russian attacks. So a handful of F-22s would not turn the tide. What that would do would cause an escalation.