What an odd point of view. I think its pretty straightforward for most people why it would be embarrassing to witness a public figure who is widely viewed and listened to speaking in public in this manner. It violates civility, classiness and promotes savagery and indecency. You're certainly not forced to either believe in, agree with or care about what he says. But that is not to say that you can't have a feeling towards the whole thing. In fact you cannot not have a feeling if you're a healthy and elevated individual with properly cultivated faculties. I have to say I'm highly contemptuous and disdainful of this kind of mind numbing apathy. Its conducive to nothing but mental degradation and inevitable demoralization. If you do not train your consciousness and your faculties to distinguish between what is right and wrong, what is advantageous and disadvantageous, what is virtuous and depraved...etc it will eventually lose its ability to discern such distinctions and the individual will be forced into perpetual descent and decay, lacking the ability of seeing things for what they truly are and condemning himself to mediocrity and inferiority.
You always call any point of view that isn't your own odd. I think Alex Jones is an idiot, but I'm not embarrassed by him. To be embarrassed by somebody you would have to have a vested interest in that somebody, or what that somebody represents. Perfect example: I'm embarrassed by GOP politicians saying stupid things because I'm a Republican and like it or not, when they're elected they represent me. Alex Jones isn't elected. He's a fringe looney. He can say whatever he wants to and I can ignore him.
Better to have lunatics being able to spout what they will then having people murdered and silenced by an authoritarian government, or theocracy, over what they say.