District attorneys are probably not the people at the state level who determine ballot eligibility. Secretary of State would be likely, there are other election officials who could enforce constitutional law in this context.
People who are under 35 years of age are also disqualified from holding the office of President of the United States. Nobody needs to be "convicted" of being under the age of 35. If someone under the age of 35 meets all other prerequisites to run for president, they should not be allowed on the ballot, because it says so in the Constitution. No court case is required, no conviction is required, no accusation of any crime is required.
The same applies to people "who, having previously taken an oath, as a member of Congress, or as an officer of the United States, or as a member of any State legislature, or as an executive or judicial officer of any State, to support the Constitution of the United States, shall have engaged in insurrection or rebellion against the same, or given aid or comfort to the enemies thereof."
Excellent work ignoring my question and retorting with a question that doesn't even make any sense. In case you happened to miss it:
Can you show me which part of the 14th amendment, section three, requires a conviction of any kind?
Edit: Oh wait, I think I see what you're asking now. Are you asserting that disqualification is a civil penalty? It's not. It's not a penalty. There is no "right" to aspiring to or holding office.