Humans are inherently social, and social networks are based on trust. Trust is primarily a function of reputation, peer pressure, and legal consequences. Reputation requires tying behavior to a stable identity. Peer pressure only works when you’re not anonymous. For there to be legal consequences for bad behavior, we must identify bad actors. I don’t see why anyone would want to remove any of this. To protect some freelance journalists in Iran?
Also I don’t think that the “pro privacy” activists really understand the scale and severity of harm being done to children through the internet. I as a programmer who makes my living on the internet, would gladly support the shutting down of the whole internet if it would save the life of a single precious child.