Was there ever a group before, during, or immediately after the Revolutionary War that felt like THEY should be the ones to decide in which direction the country should go?
The founding fathers was/is not a set defined group of people. As such there is no way readily identify who is and isn't one, and there are plenty of people in a gray area. I think your answer is easier to answer if you're talking about the second wave of politicians who arose post 1800, like Clay and Calhoun and their interactions with the remaining members of the founding generation.