And, I can assure you that not all (or even most) conservatives think that the USofA isn't a democracy. I have a friend [jerrypournelle.com] who's (among other things) a conservative and a political commentator, and I'm sure that he'd laugh at anybody who made that claim.
So because of your assumptions about your conservative friend, who you haven't actually asked, you are rejecting my decades of observation of this issue, and the hundreds or thousands of conservative and libertarian websites talking about this (as noted in a google search for the phrase "us is a republic not a democracy"), and the recent and increasing use of the slogan by conservative demonstrators?
But since you brought him up:
"It was not all that long ago that everyone in America understood that this nation wasn't founded as a democracy, and that democracy, having been considered by the Framers, was rejected for a constitutional republic of limited and precisely defined powers. As to democracy, most of the founding figures of the American Republic rejected it flatly. John Adams was particularly vigorous in his rejection: 'Democracy while it lasts is more bloody than either aristocracy or monarchy. Remember, democracy never lasts long. It soon wastes, exhausts, and murders itself. There is never a democracy that did not commit suicide.' - John Adams " -- Pournelle, 30/5/2012, taken from the blog you linked to.
[Emphasis mine.]
(This is also exactly the sort of "appeal to Founders" than prompted me to write: "Weird because Jefferson's party were called the "Democratic Republicans", suggesting that they weren't quite as dark on democracy as the proponents of the meme would like to suggest.")