Actually both Broly and Vegeta have resisted and broken free of mind control. But Sideous might be a bit much. Of course Broly doing a galaxy bust (assuming he's even in this fight) would be a double k.o. anyway. Only Bardock and King Vegeta would be serious problems and they can be overcome.
Nappa Solos he is too dumb for mind control..... LOL
Really a squad of 10-20 High Class Saiyans can utterly destroy the fleet, and if the Empire gets to the planet a couple of artificial moons would do the trick to destroy. AT-AT vs Ozarus...... epic battle