I agree it could go to court but then it is up against this process [1] which is harder than it appears as written. Judges at every level have no authority to do anything beyond starting the amendment process. The member states of this process would have to see a significant benefit to put in that kind of effort and probably a lot of money and back scratching to amend the constitution. The constitution has only been amended 27 times of the 33 proposals in 247 years. I think the closest one could get would be to appoint Arnold as Secretary of Defense. That is just below commander and chief secondary military command role of the US president during peace time.
Perhaps an interesting study would be to determine if the US being as divided as it is currently would help or hinder the amendment process.
[1] - https://www.senate.gov/reference/reference_index_subjects/Co...