I feel like we'd have a better idea of what congress is qualified to do if they ever actually tried to do something but they seem to have broadened their role from "prevent executive overreach and govern" to "prevent govern". Congress is where you send something if you want to be sure it doesn't happen.
That being said, there's always the option of just getting rid of the president's ability to overrule the people on criminal matters. We could probably go after state governors as well, that's just as rife with abuse.