I am running for President with ilikeverin as my running mate.
I am running for President with Everett as my running mate.
I am running for Vice President as Everett's running mate.
Oh boy.
Well, given that a ticket is considered one unified item on the presidential ballot, I can't see anything whatsoever in established law or in the Constitution that prohibits this sort of thing. And as far as I can figure, having someone appear on the ballot more than once is not going to make that person more likely to win.
I will say, however, that you should advise your potential voters of Section 11, Clause 1 of the Consolidated Electoral System Reform Act, which reads as follows:
"Where a voter lists only the Presidenitial candidate of a ticket in a Presidential election
and this is the sole occurrence of the Presidential candidate on the ballot, then the vote shall be construed to be for the ticket which the Presidential candidate is a member of."
In other words, anyone voting for simply "Lewis Trondheim" will have his or her vote invalidated due to an inability to identify which ticket was meant. This goes for the other people pulling these shenanigans, as well.