There is a reason the 14th Amendment prohibits violent insurrectionists from running on the ballot. Because anything that doesn't result in disqualification is a valid election strategy.
@LadyDragonfly it doesn't appear to me (IANAL) to prohibit "seeking" office, rather it prohibits "holding" office. Also it includes a provision where 2/3 of Congress can override this restriction.
@SkipHuffman actually my point stands