In response to the events at the Wyatt Detention Center from two weeks ago, Our society could choose to accept anarchy, to accept that whoever has the bigger, tougher, better organized gang wins for themselves the use of public spaces; literally implementing might makes right as a governing principle. This does not seem to be a pathway that governing authorities in Rhode Island will consciously choose, as state government quickly remembered the importance of deterring violence from escalating, once the focus of events became people not involved in the intentional blocking of traffic.
A second possibility would be to cut the problem off at its root: enforcing laws and norms against blocking traffic and against denying people the right to travel in public spaces, and uniting around a shared norm that has served our society well. (I concede that that last phrase is a bit normative).
Of course, this depends on the right to travel being a norm that is widely shared. Is this still the case? The affinity repeatedly shown by protestors for blocking traffic, combined with the so-far one-sided response by Rhode Island authorities, suggests that it may not be; this, in turn, points in the direction of the third possible evolution of the system: convincing people that it is acceptable for government to protect fundamental rights within the context of a caste system, where some people have fewer rights than others. For various reasons, this is an unlikely candidate for smooth implementation.
That is your universe of choices. In the end, any way forward that abandons the impartial defense of the right to travel will lead to more and more cycles of violent conflict that will only be eliminated once the norm acting against those who try to block innocent people from traveling in public spaces is rediscovered.