Sounds like the only way to force recusal is through impeachment. This does feel like a big middle finger to the rule of law, and the big issue America faces is how we get the system to actually work. Congress is supposed to be protecting us from lawless SCOTUS justices, cabinet appointments, etc. If they abdicate that duty, the system is irreparably out of balance/checks. This is not “politics”; this is the rule of law we’re talking about. As long as government officials confuse “politics” with lawfulness, the system is beyond repair. Once they are in a position of authority, they MUST NOT continue to be “politicians”. At that point it is their duty to be BLIND to politics and be ONLY instruments of the Constitution.
Sorry there is no "IF"s about it. Check this out from sevenwheel.