I wrote about the structure of the American militia in some detail in an earlier answer, and contrasted a frontier outpost's military needs against the frustrations of the common citizenry in this answer here.

But to give you a short answer: yes. American militias were democratic by design, and were meant to be the military extension of specific local and regional hierarchies of property, experience, or esteem. Men considered powerful in their local communities were expected to serve faithfully in their militias, and to bear a burden reflective of their status. It didn't always work out that way, of course, and militias generally allowed for exemptions of duty for men whose jobs or community functions were considered too important to throw away in the field, or (often) for men who paid for and furnished a physical replacement. The replacement would have to pass an assessment by elected officers, but this process also varied widely by time and place.

The two linked answers should be helpful, and I'm happy to answer follow-ups.