For best results, you need a trifacta.

A popularist movement is core. This should be non-violent and as welcoming to new members as possible.

A political group then acts as a focus for the group. It translates the mob grievances into politically actionable demands.

A radical group acts as the teeth. It forces the government to take proper notice of the other 2 groups.

The Irish troubles would be a good example. The popular movement was ignored by the UK government. It bubbles over into riots etc at times, which actually hurt their message in many ways. The Sinn Féin party focused the discontent and gave the UK government someone to negotiate with. Finally the IRA provided the force on the UK government.

Take away any leg and the whole movement stutters. If the popularist wing gets violent, then it bleeds members fast. Without a political wing, the movement is unfocused and will achieve nothing. The violent wing can be dropped IF there is sufficient threat of its existence/creation to keep governments motivated. Unfortunately, most governments that let things escalate that far will just dig in their heels, rather than do the sensible thing.