I only found the right to vote. But the Constitution doesn't provide for anybody's voting intentions, only for what his vote actually is. In simple terms, the Constitution secures no redress for people who make mistakes on their ballot. It's not a perfect world. This whole silly scenario points to a big contrast between liberals and conservatives.
Conservatives believe in consequences, liberals in intentions.
The rule of law is laid down precisely to eliminate as far as possible fickle and fluctuating human sentiment. Having a government of laws and not of men means that consequences, not intentions, are paramount. Now, if the actual ballots reflect that George W. Bush won the popular vote in Florida, he should win the state and all of its electoral votes. That is the law. Whether 18,000 voters intended to vote for Gore but didn't is beside the point.