There's pretty good evidence that lots of American media outlets are government mouthpieces - https://en.wikipedia.org/wiki/Manufacturing_Consent for example
I think Noam would prefer if they were government mouthpieces instead of corporate mouthpieces, as he's socialist.
Regardless, I don't think "Noam Chomsky wrote a book" is an argument with evidence. It's rather an appeal to authority. But if it were, the book should actually be about the argument you're making.
Also, thinking that socialists are willing to blindly trust government sources is pretty wrong as well. Far left and far right both share a distrust of the state.