In America our primary mission would be keeping utilities working, it doesn’t take all that many people nor does it necessarily involve a lot of public exposure, and the military is very up to speed on utility restoration and operating and repairing.
We have much military that not only does that as part of their daily work on ships and bases, but are to go into destroyed cities and get things going.
should the military’s first business be to depose a defacto dictatorship?
Re: utilities, you are off by about 5 orders of magnitude.