Why would you want or expect the press to present a unified face?
Some people seem to mean ‘no police at all’ and some seem to mean ‘don’t task the police with trivial stuff’.
But why then would the right assume it means the former?
but more generally, it's inevitable that the opposing side will interpret a vague slogan in the most negative and scary light possible. I suspect this is often by design, ie motte and bailey: https://en.wikipedia.org/wiki/Motte-and-bailey_fallacy