They have a purpose in the civilian world, but I don't think the military has much use for Glock 43s, shields, or J frames. 1911s are obsolete for the American military, but they are also a proven, reliable, and effective handgun platform that absolutely will serve as an effective sidearm for any civilian that uses it. These are not mutually exclusive ideas. You can say the same for the Colt Single Action Army; it will absolutely be effective in the hands of a trained shooter, but it is still obsolete from a military perspective. A lot of people seem to think that "obsolete" means "bad" or "ineffective", but that isn't the case.
A coworker of mine everyday carries a 1911 when walking his dog in the early morning, and I have very confidence that the 230 grain ball he has loaded in it will kill anything he runs into. That doesn't mean it's a good pick for a modern American soldier.