Eagles quarterback Deundre Pickett-White set the pace when he connected on a 50-yard pass to Sam Flowers on the first play of the game.
Pickett-White threw four touchdown passes and totaled 224 yards to help host Southwest (2-0) soar past Hialeah despite taking several careless penalties in the game.
Trevon Sands ran for 56 yards and a touchdown, and he added five catches for 82 yards for the Eagles.
Daquntay Smith led Southwest in scoring with two touchdowns.
Bobby Clersier scored the only touchdown of the afternoon for Hialeah (0-2).