This came up on one of the Covenanter Facebook groups:
Recons believe that we can have a political order based on God’s law. Further, most recons believe in a toleration of various Christian subgroups in this Christian state. Fair enough. The problem is that most of these groups–in particular the most Reconstructionist of these groups–violate God’s law on worship. So it comes down to having a state based on God’s law, except where worship is concerned (which is arguably the most important part).