The ultimate protest, right? Everybody stays home from an election.
Now what? Did we show them, or what?
Well, did we?
I dunno. The seats are still going to be filled. Just not in the normal manner. Your state most likely has a law to deal with tie votes, which this would be. Here in CO, the candidates agree on a game of chance. Last year, there was a tie election that was decided by a draw of cards. In the past, coin tosses have also been used. I don't think that rock, paper,scissors is excluded, either.
In the case of congressional representatives and senators, your state has a mechanism for filling the seats. In many states, the governor appoints the representative, and the state legislature confirms. In some states, the legislature appoints the representative.
The presidential election would hardly be affected at all. After all, you're not actually voting for President, you're voting for your state's electors. We peons aren't allowed to choose our own leader. We just get to choose who chooses. If we don't, our legislatures will. Because they can.
So, go ahead and don't vote. But don't expect it to shake things up much.