Imagine a motor sufficiently powerful to push the Raptor to Mach 2 with military thrust

Who said the Raptor can't go above Mach 2 with its current engines?

How soon do you think we will see more powerful and/or fuel efficient variants of the F-119 engine? Imagine a motor sufficiently powerful to push the Raptor to Mach 2 with military thrust - we would then have another Concorde!

Military power is 100%. The Raptor will probably hit around Mach 1.7 in that power range at the current moment.

The F-22 might produce more MIL power than the F-15C or F-14A produce in AB at low subsonic speeds, but I doubt this is the case for the transonic regime and it certainly isn't the case for the supersonic regime. Both F-15C and F-14A can easily go past Mach 2 in AB as you stated. I haven't heard anything about the F-22 breaking Mach 2 in MIL. This will be a difficult proposition because of the physical size of the F119. The exit velocity obviously isn't enough in MIL to get the F-22 past Mach 2, so you either need a significant leap in engine technology past that of the F119 or... a physically bigger engine/airframe. Given the numerous design trade-offs that have to be made for a true "stealth fighter", the F-22's performance in MIL power is very impressive. If stealth and low speed maneuverability weren't high priorities, you could build a seriously fast interceptor based around the F119 engine. Mach 2 performance wouldn't be a problem with optimized supersonic aerodynamics and variable geometry intakes.