“Fact checking” is a nice exercise and somewhat helpful but a lot of people say half baked or stupid things all the time, including myself. Part of a healthy discourse is the ability to say questionable things and having a discussion.
Once you start fact checking where does it end? A lot of people have different views on different things and there is no clear right or wrong.
What I would like to see is that the US political system starts fact checking itself and stop spreading misinformation. This should be done out of self respect.