You thought wrong. The F-22 was to be the "high" end of the "high-low" mix. The F-22 would be play the same role as the F-15, while the F-35 would be comparable to the F-16 for USAF a "swing fighter, that could do air to air early and then air to ground later. It was also slated to replace the F/A-18 for the Navy, and AV-8B (Harrier) for the Marines. British were also to use the F-35, and I believe the Spanish and Italians, who also current use variants of the Harrier.
But hey the world is a safe place at this point in time, (Riiight) and we're the Big Dog (in some respects) so we don't need more military stuff. Much more important to save the Turtles, the Snail darters and of course the inner city welfare recipient.
Considering what the Soviets are now producing (and will in the future), I think F22’s and F35 are a more prudent choice.