"direct democracy" is really the wrong term. The US has a representative democracy, where the people generally don't vote on laws, but rather vote for politicians who vote for laws. Germany has a similar system, except according to the other poster, people vote more for political parties rather than individual politicians. You could say that the US has more "direct representationalism". In reality, representative democracy is about as undemocratic as a democracy can get.

I do not think most people are in favour of legalizing weed if by most people you mean the general population and not the teenagers.