From Robert Reich, (serving under both Ford & Clinton Admin.). Quoting from a 19th century provision in the constitution. Section 3 of the 14th Amendment bars anyone from office who has been found to have "engaged in insurrection" against the United States. The key word, "anyone".

In the past people have stepped down from office, like Sen. Al Franken of Minnesota did because of some petty sexual innuendo leveled at him. In retrospect that seems absurd to the behavior of some of his colleagues have gotten tangled in. Without even censure.
Though I will say, the former temporary governor of Missouri Eric Greitens, stepped down from office from overwhelming heat from his crazy personal behavior. Didn't keep him from running for a federal office seat in the senate though.

The political climate is too hyped up now. There is no parliamentarian will to do justice for abhorrent behavior. Just throw stones at one another.

And look what happened to the whole country from the 2008 crash. Out & out banking fraud and nary anyone punished. Other than, "now now children, play nice".