Not really. Services have their own rights, citizens have their own privacy rights and government can only impose limited restrictions unless a court order is issued which takes months of hearings. These exchanges are just doing it to make their process of dealing with customer complaints easier.
I don't buy that for a second. When someone can go to jail for selling a piffling amount of BTC on local bitcoins you can bet your botty all of these places are petrified of being locked up for a trillion years.
They all know what's in store for them if they eschew it. Any involvement with money these days is hideously toxic and dangerous for one's health and freedom.