[chasing]

Have you actually tried to communicate with the university? Because I suspect you could find someone in the department willing to hear your complaints. Now, they very well might disagree with you. Or they might not immediately act. But surely you have contact with an academic advisor or know the name of a department head.

If you make this sort of contact, though, I'd recommend against saying anything like "[you] should be embarrassed and ashamed to have such a professor." Stick to facts.

Also, note that even very accomplished and intelligent people can make mistakes when they speak. I don't know what "obviously incorrect" facts you professor is stating, but I've had good professors bumble words and even ideas. And I know (as a former student) that students love discovering and pointing out those errors. Even if they have no real bearing on the quality of education being delivered.