invalid assumptions:
1. deep web being close to anarchy.
not. even. close. nothing about the internet could literally be considered anarchic; almost everything about it relies on controlled hierarchy. from how dns (domain name system) works, to the nocs (network operation centers) that all internet traffic is routed through, to how individuals are allowed to access it. don't be fooled by the rhetoric of the libertarians(tm) that claim it as "freedom".
2. rampant with child pornography.
come on. yes, it does exist on the internet. maybe even moreso than it did before the internet. but there are SO many things that are SO much more prevalent than child pornography. that just sounds like alarmist, single-issue myopia. if child pornography happens to be your pet peeve, right on, have at it. but that doesn't change the scope of its prevalence.
(and i didn't even vote this question down!)