Base-Breaking Character: While O'Reilly himself identifies as a political independent, he's become a much more polarizing figure among conservatives in recent years, most likely in no small part due to the fact that he hosts a show on Fox News, a channel that's generally more on the conservative side of the spectrum. His support for gun control, LGBT rights, and some degree of amnesty have made more ideological grassroots conservatives hostile towards him, labeling him a RINO for his breaking away from more traditional conservative stances. Generally, the biggest problem conservatives seem to have with Bill is that whenever a liberal/progressive cause finally goes mainstream and has the support of a majority of Americans, Bill O'Reilly will always get with the program and either drop his opposition or soften his stance towards said liberal cause.
The infamous interview with David Silverman and follow up vlog, where Bill tried to argue that, because science can't explain the tides (it can) and moon (ditto) then God must exist to be able to do it. Even if his beliefs about scientific understanding were correct, the idea that unexplained phenomena can only be filled up by God - the so-called god-of-the-gaps argument - is one that actual religious theologians have long since abandoned as discredited.
Dietrich Bonhoeffer: How wrong it is to use God as a stop-gap for the incompleteness of our knowledge. If in fact the frontiers of knowledge are being pushed further and further back...then God is being pushed back with them, and is therefore continually in retreat...God wants us to realize his presence, not in unsolved problems but in those that are solved.
He had this when he critiqued the James Bond movie Spectre. According to O'Reilly, the movie was infected with political correctness and turned Bond into a total idiot who was so smitten with the female character Madeleine that he gladly walked into the bad guy base with her alone in broad daylight to try to confront Blofeld. O'Reilly then made mention of how the James Bond of old would have done the smart thing and attacked the base with an army of men at night to take down the bad guys. Either O'Reilly did not watch the movie, did not pay attention at all if he did watch it, or only watched bits and snippets of the movie just for the sake of spouting off his own political agenda later on because James Bond going on a suicide mission into the bad guy's HQ had nothing to do at all with political correctness or any political narrative. The villains of the movie had, in fact, infiltrated MI-6, cutting Bond off from any and all forms of outside help, so Bond pretty much had no choice but to go it alone, with or without a woman by his side. So due to the plot alone (and not any PC influence), Bond couldn't have attacked the base with a squadron of MI-6 guys even if he wanted to.