We don't have to imagine, because it didn't happen, because it's not and was not and won't be a real problem.
Okay, but now that hypothetical problem is solved, we have the opposite hypothetical problem. Let's see if it turns out to be more of an actual problem compared to your imaginary one, which never materialized in 250 years of the presidency.
My guess is it's going to be an actual problem almost immediately, as soon as someone with low moral character is elected. Wonder how long that will take.