Not really, since a lot of them are pretty unpopular. For example, things like "making it illegal to burn the flag" or "stopping Neo-Nazis from marching" poll very well in the US -- people would happily vote to get rid of freedom of speech if they could.

As for rule of law, there are examples of non-democracies with solidly developed rule of law, like present-day Singapore and Hong Kong, or Britain in the 19th century (and before).