The FCC's job is to worry about the internet connection services not about what people can and cannot put online. It's in fact very safe to let separate authorities take care of content, and connection.
If you let one authority take care of both of those you get internet service providers that can forced to monitor every users internet traffic for illegal activities and take them offline if they do something illegal. Webhosts could be forced to take content offline just because the government doesnt like it. etc. etc.
However if content and connection are separately guarded, it will be harder to make a profound negative impact on net neutrality, as neither party is in control of all the factors involved.

Also there is nothing in this framework that facilitates slowing the internet down to a crawl.

By the way, according to a dutch news site, the proposal has already been denied.

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