I didn't think this has to be said but US and Japanese forces aren't Saddam's Iraq.Stealth technology includes quite deep IR sig suppression(one of the main reasons for subsonic flying wings in the first place), so IRST range against those may be quite meh.
Saddams' Mig-29s failed to find F-117s over Baghdad back then.
One the other hand, one of the key reasons for manned bombers is ability to penetrate the AD mesh and see that you're engaging in the first place (best kill chain is no kill chain, best verification&damage assessment is visual). In some cases even targeting something mobile can be attempted.
Especially because in such a big war, not only enemies' defenses are probably targeted, but also your own strategic reconnaissance assets.
Otherwise there is a point in simply making even larger stealthy missiles(Kh-101/102 with their crazy ranges are already showing that) - fuel doesn't cost that much to add.
IRST uses mid/long wave IR, which is emitted at ambient or slightly warmer, and is also diffusely reflected as well. It is basically light.
No IR suppression can eliminate heat, it just diffuses heat and raises the temperature of the surrounding fuselage a bit rather than have a high temperature source at the engine outlet. This temperature will still be far higher than ambient and readily detectable.
IRST is an imaging system. Just as your eyes aren't fooled by a piece of glass, which has far lower contrast vs. air than the contrast you can get for an IR emitter vs ambient, you are unlikely to be able to go unnoticed by IRST.
IR suppression is better for MANPADs.