I think your theory is wild, but only a corrupt and amoral man would have allowed himself to be setup in any event. Nixon has nobody to blame but himself. He lacked character. He lacked that esesntial loadstar of valuing doing what was right over and above perceived self interest, however poorly perceived that self interest was.
Nixon's problem was he was far too loyal to his underlings. Nixon could have easily, and probably should have, called on the Justice Department to get to the bottom of the criminal activity in his administration, but he decided not to, and chose to try and protect his underlings. By doing so, he broke many laws. Nixon was like all Presidents, they pick people they think will best advise them. Nixon made some bad choices for advisers, and their advice helped bring him down. Kinda like Dick Morris's advice to W. Blythe Clinton to lie about his unsavory liaisons with Monica Lewinsky.
If that was the case, why did he not pursue the 1960 election fraud or choose to not resign and stay and fight like the Clintoon did?