It actually doesn't disqualify you at all. Felons are able to be president as stupid as that sounds.
Article 2, section 1:
" 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."
22nd Amendment:
" No person shall be elected to the office of the President more than twice, and no person who has held the office of President, or acted as President, for more than two years of a term to which some other person was elected President shall be elected to the office of the President more than once."
Great Points Captain! I'm sure the media would try and amplify any arrest, and charges, to make it sound like Adam was a criminal. If he gains the traction of actually having a demonstrable following. I'm sure it will be measurable, but I mean 'provable' to the media talking heads. We all know how they tried to minimize Trump's support, and that backfired horribly :D