The fact that is had a "ain't men so silly?" tone does nothing to make it not sexist. The show was largely about hot women that the primarily male audience could ogle. Adam Carolla is a troglodyte that embodies most of those stereotypes you claim the show was lampooning.
... As far as your use of the word "objectively" - uh no. Simply claiming you're doing something ironically doesn't mean that you are or that you're doing it well enough to distinguish it from a non-ironic interpretation. Being ironic is not a free pass. And let's get real, the show had hot women on because that's what men like, not as some sort of biting critique of men's psyche.
Edit: Calling The Man Show a "satire" seems fairly ridiculous. A comedic exaggeration? Sure. But regardless of semantics the idea that the show was fighting the good fight against sexism is absurd.
Your criticisms of the show are largely incorrect, and are, again, based on you having watched probably no more than one or two episodes, if even that. (And that would still be more than some other professional feminist writers have watched before criticizing it.) I can't know that for sure, but I'm going to assume that. Before anything else, you're being intellectually dishonest because you haven't properly engaged with the text in question.
Beyond that, the artists have stated their intention, and that is all that matters -- they clearly intended it to be satire. The show was primarily written by Jimmy Kimmel, who has repeatedly stated that it was all satire, but Carolla has also affirmed this. That gives them license to do precisely what they were doing. Your unstated major premise is clear from your tone: you find it in poor taste; perhaps you even find it offensive. That in itself is irrelevant. It is satire, no bones about it, and it achieves precisely what it is gunning for.
Integral to the very definition of satire is to produce something that appears to be real. Some of our greatest comedic works are satirical. The British comedian Chris Morris
developed an entire series of satirical documentaries, one advocating the abuse of animals, another the use of drugs. While I'm not interested in putting words in your mouth, I cannot abide by anyone who would limit satire as a technique simply because some dullards can't distinguish it from reality.
And though I've cut it out from the quote here, I wouldn't rely on Wikipedia as a source, so I won't address that point seriously.
I happen not to be a tremendous fan of The Man Show -- I'm a much bigger fan of Loveline -- but your reliance on ad hominems against Carolla and the show reveals what you actually think about it. Even operating on the premise that you intend your charges seriously, you're simply incorrect in your analysis of the show, and I substantively disagree with you about what classifies as satire.
Finally, I never claimed that The Man Show was "fighting the good fight against sexism," but I certainly can't stop you from imagineering what other people are saying.