I'm not sure if this falls under the category of false inference or false syllogism, but either way it's wrong.
I understand what you're trying to say; I think your logic is slightly flawed.
I also agree, you have the right to say whatever you like in this country. I also have the right to point out your flawed ideas and arguments, and call someone an idiot if they decide not to vote.
For all of you who say voting doesn't matter, take a look at California and the dumb shit that is made into laws over there. Ask yourself if the people voting in California made a difference there. You have no idea how huge it can be.