Timber Wolf - you asked why legal services are more integral than education or health care.

In brief, because while you could privately contract for education or health care, you can't privately contract for a justice system.  (You really did not mean legal services did you?  Legal services would be hiring a lawyer.)  The justice system is one of laws and police and courts - prosecutors, defense attorneys and judges.  You want one standard for laws in a jurisdiction and one body of enforcement.  I do not think that can happen privately.  We (the sovereign people) give the state a monopoly on violence and the ability to coerce obedience.  How could that ever work privately?  The costs of  a justice system should have PRIORITY over education and health care.  Part of that is also security - a lack of security of the person and a justice system that allows widespread impunity will negatively impact delivery all other services.