Excellent question and way of putting it.

I don't think police really protect the right to life as much as they protect policy or "laws" of a whole lot of other things people don't necessarily want or need. Police officer seems to sound like Policy enforcer for a reason. Very rarely does a cop stop a murder before it happens. They show up after the murder to find the killer, but they did not protect the victims life. There are, of course, other scenarios where they might be able to protect life, but if there were no police force through taxation, there may be another form of protection that can arise that hasn't even been thought of yet. I think also that people having the right to life is not the same as people having the right to have their life protected by a group of people. Life is not fair, ever. If you can't afford to pay for your "protection insurance" then it's up to you to take steps to protect yourself in other ways. This is no different than if you can't afford your rent, you're going to get evicted and you'll have to find somewhere else to sleep. Forcing everyone else at gunpoint to pay higher insurance because some people can't afford it is not right.

Obviously, there are all kinds of situations and not everything can be thought of prior to it happening. This is also the case right now even with taxation. Something bad happens nobody saw coming and BAM, there's another law put out to restrict everyone else's freedom at gunpoint to prevent it from happening again. That's not a solution to the problem, that's a band-aid solution to all problems.

You are right, though. A lot of the time people are very set on their principles and haven't thought of the solutions to the problems that would arise from obtaining those principles. Complaining about something without having a solution is called whining. But, a lot of people would probably also realize that they aren't going to be able to think of every problem right away. To implement those two principles of life and property, things have to change the way they are first, and the problems that start to arise from that change will need to be solved as they occur without infringing on those two rights. Taxing everyone IS the problem right now and treating everyone like free human beings by respecting those two rights IS the solution to that problem. What comes after that will be dealt with as it happens. If society had been doing this sooner, we could have had it all sorted out by now and we could be moving on.