Being spied upon by people with dubious intentions is not a good way to make people feel safe. "It's for your safety" is exactly the argument of populists and authoritarians.
You need transparency, not secrecy, in order to have an argument for safety. "Trust me" is exactly the argument of populists and authoritarians.
If "surveillance of survelliance" already exists in enough depth to reliably catch problems, how on earth did Snowden gather so much information?