Question for Libertarians

Many Libertarians seem to be okay with the idea of government-funded police forces or firefighters or even military (although Ik there is often talk in Libertarian circles surrounding the idea of switching to a for-profit military force, not a government force).
Why might these people believe in government-funded (which just means taxpayer-funded) services for the police force and for fighting fires?
If their reasoning is that a government ought to look out for the physical well being of it's citizens, then shouldnt Healthcare be included? Why not?