Courts have removed ineligible persons from ballots and from office.
The particular eligibility requirements for the Executive differ from those of other offices, but there is nothing that sets that office apart from others as regards determination of eligibility by the Judiciary when a case is brought.
The courts have never disqualified a candidate for President. The Constitution specifically provides that presidents are to be chosen by Electors, not judges.
The particular eligibility requirements for the Executive differ from those of other offices, but there is nothing that sets that office apart from others as regards determination of eligibility by the Judiciary when a case is brought.
What sets the office of the presidency apart is not the unique qualifications. What sets the office of the presidency apart is that the Constitution specifies how a President is to be chosen and specifies that a President is to be chosen by a constitutional group of constitutional actors called Electors. The only function of Electors is to choose a President and Vice-President. It is their exclusive bailiwick. There is absolutely no Constitutional basis for transferring any of their duties to courts. Further, there is no practical reason for doing so. There is absolutely no reason to believe that judges would be any better than Electors at evaluating the worthiness of candidates.
So, when you vote for a President, do your job and consider the qualifications of each candidate. The courts will not and cannot help you. ;-)