NOW we know why some folks are so fired up about amending the Constitution! It's isn't for the benefit of Ah-nuld. It's for the benefit of the Galilean!
Art. II, section 1 of the Constitution provides:
No Person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President; neither shall any Person be eligible to that Office who shall not have attained to the Age of thirty five Years, and been fourteen Years a Resident within the United States.
Jesus was not a natural born citizen, having been born--according to at least two accounts widely believed to be reliable--in the Middle-East. Nor did Jesus become a citizen of the United States at any time. According to the conventional view, he also failed to attain the age of thirty-five years, having been executed at approximately the age of thirty-three. Despite the fact that there are supposedly many of "his" houses in the country, it is not clear that he is a resident or has any known domicile. Previous efforts to serve him (or his Father) with legal process have been unsuccessful.
There is further the matter of his criminal record. He was tried and convicted of a capital crime, and sentenced to death by torture. Moreover, his crime was that of challenging governmental authority by claiming that he was the ruler for the region. He could easily be the target of a smear campaign engineered by the Roman Legion Veterans for Truth or the Jewish Religious Honchos for Truth.
He was also an unmarried young man who hung around with other young men and called them beloved. You know that this sort of chosen lifestyle isn't going to sit well with the Christian community.
He would also be unable to carry out the oath or affirmation of office: "I do solemnly swear (or affirm) that I will faithfully execute the Office of President of the United States, and will to the best of my Ability, preserve, protect and defend the Constitution of the United States." He has taken the position that all swearing of oaths should be avoided (Matt. 5:34). He has also taken the position that law from divine sources is paramount (e.g., Matt. 5:17-19), which would be at odds with holding the Constitution as "the supreme Law of the Land" (Const. Art. VI).