The court system is better suited to protect the individual in several ways compared to the elected branches of government in ways one being  independence of the judiciary, which allows judges to apply law without being persuaded  by political considerations or public opinion. For example, in the United States, the Supreme Court has the authority to review laws passed by Congress to make sure they go with the constitution this protects individual rights 

I do agree that this Supreme Court anti-Democratic, federalist #10 Madison discusses the dangers a majority faction, the system is made so decisions is made off of law and not biased , the way, federal judges are picked seems to be based off of social class