The court system is better suited to protect the individual because judges can make fair, constitutional decisions without worrying about public opinion or elections. Unlike Congress, the Presidents, governors or mayors, courts focus on individual rights in each case. For example, in Miranda v. Arizona, the Supreme Court ruled that police must inform suspects of their rights, protecting people even when the decision was unpopular.
The Supreme Court is anti-democratic by design because justices are not elected and sever for life. This structure comes from Madison’s worries in Federalist #10. Medison feared that poor people would use democracy to take property from the rich. He was concerned that a poor majority might take things from a wealthy minority. Lifetime appointment makes sure that educated elites control how we read the Constitution. It does not let popular majorities make these decisions. This protects existing property rights and current social arrangements. These protections work against democratic pressures, threatening elite interests. The lifetime appointment system stops this from happening.