Obamagate was a fabulous concept: pronounce someone guilty of some not yet known thing, THEN look for what the world shaking misdeed[s] shall be.
Since the worst thing Trump & Co could dig up on Obama since 2004 was that his Kenyan father was Kenyan and thus from Kenya and not America and maybe he took his pregnant wife and soon-due anchor baby to Kenya to blow his backup for citizenship chance on a country he wanted to and had left ended up being a dead end, there was nothing else to pin on him, other than Obama looking not quite like a drunken redneck who does nothing but shoot squirrells all day when he held a rifle and something about whether Benghazi was a spontaneous act of terrorism or a planned out act of terrorism yadda yadda these people couldn't find a speck of dust on his shoes with an electron microscope if they tried.
About Carol on TWD, that was a couple of episodes after they had first arrived in Alexandria. She put on this overly plastic Betty Crocker Stepford Wives act to chum up the residents to figure out how they shall proceed with them (scared the heck out of some annoying kid over cookies the night before too). So Rick was asking her what's up with the phony routine and stuff she was saying so she responded with that quote, "These people are children. Children like stories.''