I've spent a lot of time racking my brain trying to figure out these people. Here's my best guess:
You know how it feels when your sports team is caught in a nail-biter and, in the closing minutes, benefits from an extremely questionable officiating decision? A bit icky, right? How about a bit later on, when that icky feeling mixes with the thrill of a narrow victory? The two conflicting emotions mix to produce a sort of exasperated relief. As time goes on, you remember the call less and less, and more importantly, once you convince yourself of some other calls went against your team, you determine that the officiating evened out in the end, anyways.
So it is with all these obvious lies they buy in to. If Trump gets unfairly vindicated, their team wins. It doesn't matter that they got help from the refs every step of the way in the form of obstruction of justice and propaganda. They won, and soon that's all that will matter.
Think about these people's psyche for a minute. Underneath it all, their underlying belief is that only the strong survive. If they can't make it in life, it's because they weren't strong. Their entire ego is tied to this identity of being one of the strong. Think about why they bought into the idea of "socialism" (anything to the left of cutthroat capitalism) as a boogey man -- they simply refuse to accept survival on any terms other than having "earned" it through their hard work and valor. And if they can't actually earn it, their ego will point them to the next best alternative -- support the big strong man that will remove competition until they're the only ones left to be declared "winners."
The right loves Trump because he gives them precisely what they want. Above all else, they need to feel like they're "winning" in life, and that they're "above" the losers who slip through the cracks. Trump will rig the game for them. That's why they support him, and why they won't stop supporting him. Sure, they get the benefit of some questionable calls. But those go both ways, right? All that matters to them is that they win.
They're broken people. We're fucked.