Terra Nova is in trouble.
The colony is currently led by a single guy, who controls the military, the police force, the science department, everything is ultimately under his control. Taylor seems to have powers of a colonial era viceroy.
In BS-G, there was a struggle over who had political control of what remained of human society. Would it be controlled by the military, or would it be under democratically elected civilian authority? It made sense to deal with that situation as they were all that was left of humanity and they would be the people who found found a society. There was no going home for these people, and there was no political entity back home to which they could appeal if there was a problem with poor government in the fleet.
SGU had a similar storyline and handled the situation poorly, for a number of reasons, not the least of which is that it was brought up so very early in the series.
In Terra Nova, the colonists are there for the duration. They have been present for years and their numbers have reached the point where they should be looking for something more than a society which operates under a modified version of martial law.
As far as the vast majority of the colonists know, there is no hope of anyone going back to the future. Why has there not been any kind of movement to establish a civilian authority of the colony? Are they all too lazy to take an interest in their lives, or have they been convinced by Taylor that leaving him in charge is the safest course of (in)action? Alternately, maybe they have been forced to agree to military control of the colony as a requirement of being accepted as part of a pilgrimage?
I just find it amazing that, as yet, there hasn't been anything on this topic mentioned.