Should everyone be allowed to use these public services when not everyone is donating? Should you be allowed to use the police even if you haven't been donating to their budget? What if the police have two calls: one from someone who has donated and one from someone who hasn't? Who has priority?

The tax system exists to fund services that are generally not used by someone until they are needed (FEMA, Medicare, unemployment, etc.). I can honestly say I would never pay into any of these programs unless I had to and I think most people would do the same (even if they wouldn't admit to it openly).