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.

















Agreed, but with a few provisos.
Turning a peaceful protest (march etc) violet is a big no no. If there is seen to be a risk of this, the popularist section will rapidly hemorrhage members. The radicals can use the events as cover/meeting new members, but not go hot on the march. The exception to this is if the government/police go violent. Defensive counter violence is then acceptable. The goal should be to get the “civilian” supporters (think families etc) clear. Then, it’s down to them whether they bolt too, or play whack a mole with the police.
The other proviso is that the radical groups actions should be proportional. The IRA walked this line. When they set major bombs, they gave the authorities enough warning to clear the area of civilians. They were mostly aiming for property damage and disruption, not mass casualties. The times the IRA went past that line did severe damage to their reputation. They need to act to reinforce the position of the other 2 groups, not undermine it.