Maybe a better analogy -- when I'm on call and get paged, my first response is not to immediately restart the servers. The immediate response should be to assess the situation, not jump straight to the most extreme approach.

Now you may quite reasonably point out that a page on a software system is seldom of the same weight as an emergency call to the police (true in my case -- money, not lives, have always been at stake in the systems I work on), but this ignores the reality that the "swarming with guns" approach _also_ can, and has, cost lives. So if anything, the higher stakes involved for police involvement is an even _stronger_ argument to take the extra time to properly assess the proportional response.