What a surprise. Start with the slam-dunk of getting them to ban CP (After all if you don't agree it should be banned you must be a pedo sympathiser) , then turn round and say "Well you can block that illegal content, what about this?"
What next, demand Google block sites of banned political parties? Disallow all dissenting opinions? Silence religions you don't like? This is why we shouldn't have allowed the thin end of the wedge in in the first place. Give centralised control an inch and it'll take a mile.