It is an interesting and long standing question. Some consider it a major flaw in the constitution.
Would SCOTUS refuse to hear such a case? They might or might not, but as I said prior precedent involving impeachment of judges have pretty much given the final word to the senate. Plus it's not like SCOTUS doesn't get involved in the trial as the constitution says the Chief Justice will preside over the trial. I wouldn't surprise me if SCOTUS opted not to get involved in such a battle between the executive and legislative branches.
Would SCOTUS refuse to hear such a case? They might or might not, but as I said prior precedent involving impeachment of judges have pretty much given the final word to the senate. Plus it's not like SCOTUS doesn't get involved in the trial as the constitution says the Chief Justice will preside over the trial. I wouldn't surprise me if SCOTUS opted not to get involved in such a battle between the executive and legislative branches.
Save a life. Adopt a greyhound.