I don't think that you can make a generalization of the entire Republican party. Maybe it's just the ones who are in the powerful positions that are "uptight" and all, but I'm sure there are some Republicans who aren't that way.
I'm a bit confused about what you mean by "Deomocracy". Democracy is about giving everyone an equal voice, and both the Democrates and Republicans follow that, otherwise throughout America's history it couldn't be considered a democracy.