Yes, and it's important that felons be able to run for president. Were that not the case, a corrupt enough system could just disqualify anyone that would seek to oust it.
But, it must also be pointed out that that's another case of good faith actors getting fucked by assholes. In theory this sounds good, like free speech and tolerance for all. But when you are dealing with criminals and sociopaths those virtues get used against you.
Absolutely, and it's infuriating. The only thing that can stand between criminals and sociopaths is the vote, and a too much of the vote is controlled by morons.
Good and bad faith doesn't refer to anything about religion.
Acting in good faith means you're not using deception or hypocrisy and your words and arguments reflect your true beliefs and the intent behind your actions. You use words to express what they mean.
Acting in bad faith means you present a false front to deceive others into thinking you are someone you are not. Your words and arguments do not align with what you believe or why you act. You use words to get what you want or confuse those who might otherwise oppose you.
Not that that distinction makes it any easier to recognize good or bad faith in general. Or to convince those who put their faith in bad people that they should re-examine their position. It just doesn't necessarily refer to any kind of religious experience.