I think the Navy's primary long-term interest in this is a defensive measure against ASM tech, and it's frankly, a good application.
We're not going to be seeing gently-rolling guided cruise missiles any time soon (and certainly not for $10k) and we're not going to see long-range guided rolling rockets.
Anti-ship missiles are getting faster and faster, and CIWS is getting less and less likely to work. Aegis cruisers can already take out most ballistics that would threaten a carrier group. CIWS needs replacement- mounting lasers on support cruisers to train on a fast cruise missile is perfectly legitimate, and it increases the usefulness of having carrier groups to begin with.
I think the power-delivery capability is going to greatly outpace the defensive capabilities of ordnance. The kind of cooling necessary to stop that kind of energy is massive, and unlikely to work well on a cruise missile, and the only real defense- thicker armor is going to make it harder to keep the missiles as fast as they need to be to have any chance of success.
This isn't a waste of money, it's literally the only hope for keeping carrier groups relevant.
Mirrors will never be credible way to counter a high-power laser threat. Not even internally cooled. Mirrors are simply too easy to damage, and they're not a mirror after that happens.
They've been destroying 60mm mortar rounds from 500m out with 20kW lasers since 2006, what exactly is the basis for your disbelief in the usefulness of laser point-defense?