Social networks are recently been blamed for several noxious behaviours: fake-news, social division, stalking, trolling, and on and on. Should state authorities impose control on these services?
Yes, it is a sensible method to limit trolling activities
Involving the state could limit or prevent anonymous users practising illegal activities on the net.
User authentication = user takes responsibility
If identity of user is known to authority the individual will be liable for her/his actions
No, as state control can result in repressive censorship regimes
An authoritative government might exert censorship that unfairly restricts the right s of the citizen.
Surveillance is abused to profile people
Social media surveillance infringes on people's privacy. Governments can misuse this surveillance to profile people and to find and punish them for sharing political/religious opinions.