Not necessarily. If a citizen had a weapon, it was more than likely an expensive rifle, suitably accurate for hunting.
The Militia used inexpensive, smooth-bore muskets, and the militia member had 6 months to acquire one. Muskets were quick to reload and more suitable for the rapid, volley fire used in battle.
It doesn’t matter what “they” used. Militias have been around for millenia. In Roman times, a militia member brought a spear and a sword (and maybe a horse). The weapons of a milita consist of what is at hand. There were militias in the 18th and 19th centuries in Europe armed with pikes because that was all they had. If “they” used smooth-bore muskets, should we? Should we wear powdered wigs, too, because they did?
Come on, this is ridiculous. The militia used whatever guns they had to hand, be it a squirrel rifle, a Brown Bess, or a blunderbuss.
Some colonies had regulations about required calibers of bullets and quantities of lead and powder, as well as laws promoting periodic militia drills, but (especially in times of peace) they were widely ignored even back in Colonial days.
And I have NEVER seen a militia law specifying a smoothbore musket rather than a rifle. I defy you to show me any such thing.
-ccm