Lynchings don't reveal a democratic justice system. Censorship doesn't reveal a democratic architecture.
When I say "democratic", I'm referring to a political system ruled by a majority (or a plurality) of its people.
The protection of free speech is a liberal value, and though in practice we've seen this protection most commonly in democracies, liberal values are not inherent to democracy.
For example: Let's look at a country like Pakistan. Let's say that 80% of people are in favor of the death penalty for blaspheming Mohamed and also believe any media in which he is blasphemed should be burned. The democratic thing to do would be to implement and enforce these policies.