Nah, doesn't it require Senate approval? Just let this guy resign and don't confirm the replacement. Who cares if the JBT department can't function? They shouldn't be anyway. If The Won can come up with an acceptable replacement, then fine. No reason to be too accommodating, THEY'RE the ones that want the department to exist in the first place.
As soon as they find a landing zone with a muzzle on him, the bus will move out of the basement and take him out.