I would have expected them to raise the issue well before the inauguration. I would expect them to privately raise the issue with their conservative legal colleagues to generate a public groundswell. I would not expect them to roll over and ignore their oath to the Constitution.
Who in the entire legal system do you have faith in?
You must not be familiar with the last Supreme Court decision regarding Roe v Wade in which Sandra Day O'Conner (issuing the opinion for the majority) said "Stare Decisis." In case you are unfamiliar with it, it is a legal term which means "Shut the F*** up! Our ridiculous decision is FINAL, and we don't have to explain or justify it!"
Who in the entire legal system do you have faith in?
None of them. I have a little less cynicism regarding the 4 conservative judges, but I do not believe their primary concern is accuracy in apply constitutional law. They will do what they can, but their answer to Unseating the first black President? "Lord, let this cup pass from me."