I don’t think it can happen for two reasons.
First there’s the quality of life issue. For the Massacuesetts Minutemen and others who took up the fight against England, their life was pretty much secure. They mostly lived on farms or in small towns that were nearly self-sustaining. They knew that however the war turned out, life would remain pretty much the same. If they lost, they could return to their farms and go on farming much like they did before.
In the intervening centuries, we’ve adapted to a higher standard of living and an inter-related economy. War would disrupt everything: utilities, transportation, basic services. Hence fewer people would be willing to pay the price of war against the government.
The second issue is culture. Our culture no longer celebrates individualism and independence from the government and society at large. Our ideal is no longer small farmers and businesses. Hence it’s tough to imagine a group like the Minutemen acting to preserve their independence.