you do realize that proving that he is unfit isn't the issue, that has already been proven...the issue is getting the republicans to impeach their own handpicked ally on the bench. That simply isn't going to happen. There will be no removing him by impeachment, it just isn't an option. I'm pretty sure anything short of a murder with many witnesses would be insufficient for the republicans to impeach him...and i'm not sure they wouldn't try to justify keeping him on the bench somehow, even then.
It could happen if the democrats get a large enough majority in the house and the senate, but i wouldn't count on that for another few election cycles.