One could just as easily argue that the United States may well be a "Democracy" on paper, but what the people want and what our politicians do are two different things.
Nobody who knows what they're talking about and isn't lying calls the US a democracy. Why? Because it isn't. Not even on paper. Never was. And thank the Founders for it!
Find me the word "democracy" in the Constitution. If you do, I'll pay you a bajillion dollars. If you don't, you can just count yourself educated.
What's a democracy? It's a horrible place. It's a place where 51% of the population can literally decide to make the other 49% their slaves. It's a place where minorities don't have rights unless the majority decides to grant them. The Founders spoke of democracy in very negative terms.
Now what America is on paper is a federal constitutional republic. We've been steadily slipping away from federalism and into centrism, however and this is a bad thing.
I'll admit I might be wrong, but I don't think that Mexico has been a federal republic since before the Texas Revolution - a war that started when Santa Ana and his regime discarded the 1824 constitution and installed a new, centrist one. There have been a couple of other revolutions since then that have changed Mexico's form of government, but I'm fairly sure that it's remained too centrist to be called federalist, especially given the timing of the last one, which was at about the climax of socialist revolution and agitation around the world (socialists hate federalism because socialism isn't about freedom - it's bout control).
Again, America was never, and is not now a democracy. And I hope to hell it never becomes one.