Well one that wouldn't work as of recent times, since the X-Men live on Krakoa alongside a lot of their enemies like Apocalypse and Mr Sinister and Selene etc, so they have the power to handle someone like Bizarro and also they now have an immortality method for every mutant pretty much, since now when they die, they just instantly respawn a new version with all their memories and everything, so functionally immortal for all intents and purposes.
That said, if Lex wants to do that stuff after potentially being psychically influenced into losing a battle bot competition, well all the power to him then. Petty lil asshole lol.