These surveys are usually spurious, because they don't state what questions were asked and who constitutes "the public". It's possible to get whatever results

These surveys are usually spurious, because they don't state what questions were asked and who constitutes "the public". It's possible to get whatever results you want either by cherry picking the kind of people you ask, or by framing the questions in a way which is biased towards certain responses. I bet if they asked a question such as "do you believe that the president should have the right to prevent you and everyone you know from using Facebook, Twitter and Gmail for an unspecified period of time?" the support level would be rather minimal. If it was framed as "do you believe that the president should be able to temporarily suspend internet services to protect vital national security interests in an emergency?" probably the majority would be in favour. Protecting things in an emergency sounds like a good thing, it's vague enough so that it doesn't sound like something which would apply to you personally, and if it's only temporary then who cares? These days many people who would not be classed as archetypal "nerds" are highly addicted to internet use, and in the past I've seen people having something close to a panic attack if they can't access their emails for half an hour.