I am not that familiar with the APC units but assuming it has inputs specifically designed for high current amps, that should be OK " as long" as there is delay on/off timing functions for certain inputs on the power conditioner so you are not having to power everything on and off at the same time. The delay functions soften the power draw and help prevent speaker pops from the power amps.

If there aren't any on/off delay capabilities, then you could have a problem.