Note that the 14th Amendment is only one potential legal bar to Trump holding office on conviction. The other that has been cited is this one.
(a) Whoever willfully and unlawfully conceals, removes, mutilates, obliterates, or destroys, or attempts to do so, or, with intent to do so takes and carries away any record, proceeding, map, book, paper, document, or other thing, filed or deposited with any clerk or officer of any court of the United States, or in any public office, or with any judicial or public officer of the United States, shall be fined under this title or imprisoned not more than three years, or both.
(b) Whoever, having the custody of any such record, proceeding, map, book, document, paper, or other thing, willfully and unlawfully conceals, removes, mutilates, obliterates, falsifies, or destroys the same, shall be fined under this title or imprisoned not more than three years, or both; and shall forfeit his office and be disqualified from holding any office under the United States. As used in this subsection, the term “office” does not include the office held by any person as a retired officer of the Armed Forces of the United States.
The big question is whether the presidency counts as “any office under the United States”. Or whether a law such as this can supersede the qualifications for POTUS as set in the constitution. It was claimed at one time that Hillary Clinton’s email kerfuffle might make her ineligible as well, and Snopes had an article on that:
Here’s what I found ironic there:
Of course, all this is likely practically moot, since if Hillary Clinton is guilty of violating the law, and is convicted for violating the law, such a trial would be a political disqualifier even if not a legal disqualifier; but I take it that the legal disqualification point might itself have some political force even if no trial takes place, and I thought it would be worth noting that the legal disqualification is likely unconstitutional.
I wish we could harken back to a simpler time, 8 years ago, when being found guilty of serious crimes would kill a person’s political career.