The term Minority Rights gets thrown out a lot especially in the US Senate but it basically gets down to. All views and opinions have a right to be heard that we all have the opportunity to give our side and our points of view, whether we are swimming with the tide or swimming against the tide. Thats just one difference between a Liberal Democracy like in the United States and a Majoritarian Democracy in lets say Europe, where a lot of things are done by Majority Rule. They don't like the current government so they throw it out, whereas in America, elections have consequence. To paraphrase Chief Justice John Roberts its not the job of government to save the people from decisions they made at the ballot box. Which basically means if you don't like the Representative or Senator or Governor or President you voted for, vote them out the next time they are up for reelection. Whereas in Europe they basically have do overs, look we made a mistake, we shouldn't of voted for those people, we want new elections. Actually California is also sort of a Majoritarian Democracy, they decide they a lot of things through referendum and it generally involves someone in California wanting the State Government to spend more money. But of course they don't come up with the funds for the new spending.
If America was a Majoritarian Democracy, we wouldn't be a Constitutional Republic, even if we had a Constitution. It wouldn't mean much because anytime 50.1% of the country decided they wanted something or viewed something in the Constitution as outdated, then they could throw it out by referendum or through Congress. By Majority Rule in the House and Senate, the United States simply doesn't operate that way, as much as Progressives may hate that. In America racists, homophobes and other bigots have just as much right to voice their views as tolerant people. The War on Terror is a perfect example of why its a good thing that we aren't a Majoritarian Democracy but a Liberal Democracy, because when Americans have their rights abused by the Federal Government. They have recourse to appeal that abuse, the Civil Rights demonstrations of the 1950s and 60s is another great example of why its a good thing that we are a Liberal Democracy. When the Southern Racists were still in the majority.
Former United Kingdom Prime Minister Winston Churchill once said that Democracy is the worst form of government in the World, except for all of the rest. I would argue that Constitutional Republics in the form of a Liberal Democracy, which is what the United States is. Is the worst form of government in the World except for all the rest. Because it protects all of our Constitutional Rights, even when they are not popular.