So inspired by the Star Wars vs. Warhammer 40k web serial, I made crossover fleet lists for Starmada. Then using Tabletop Simulator for a convenient hex map and making some quick counters in its editor, I ran a small fleet engagement of four Imperial frigates vs. five Republic ones.
The fleet lists are still subject to major revision but suffice to say the Star Wars side is about accuracy and fighters and the 40k one about brute power and durability. In this case brute force won out as the Imperium destroyed four Republic vessels for the loss of only one of their own.