Another convenient logical fallacy republicans use is circular reasoning. For example, they say Obamacare is bad because Obamacare is bad. No proof or premise to justify why Obamacare is bad, just that because they say it is bad it is bad. They are very good at making claims without providing evidence, much like trump claiming Obama wiretapped his hotel during the last election but providing no proof other than to say that Obama wiretapped his hotel. After a while enough people start to believe him despite providing no proof and then next it is used as a cudgel against Obama. These types of attacks against anyone who is against republicans are the new normal and since trump's base is easily swayed they follow his statements as truth.
Another technique, straight from Hitler's book "Mein Kampf" is called the Big lie. It is a fallacy similar to proof of assertion and circular reasoning. The Big lie is the one where you state a lie that is so complex in it's understanding that no one would believe it was made up. It sounds so astounding and is delivered with such conviction that repeated enough people will believe it. All of these techniques have better than limited success because our American electorate is a fast food type society. We like our understandings thought out for us instead of utilizing diligence ourselves. We would rather have the shortcut of someone's else's conclusion than to actually form our own. We deserve this mess and no amount of squealing about it afterwards lessens the impact of our own choice to be lead instead of leading! https://en.wikipedia.org/wiki/Proof_by_assertion.