The US Supreme Court hews close to precedent. The only two significant overturned decisions in the last decade are Roe v Wade, which regardless of your views on abortion was a poorly reasoned decision, which was really judicial legislation, that had to be essentially amended several times (whether abortion should be permitted is a separate question from whether Roe was good law, which it obviously wasn't) and Chevron, which was contrary to the most fundamental principles of the rule of law (that is, that the interpretation of the law is a fundamentally judicial function).
Neither were really political decisions. The SCOTUS doesn't split along ideological or party lines all the time. It often splits in different ways, and often makes decisions on very politically heated topics unanimously. You should have more confidence in it. It is the least bad of your three major institutions of government by far.
To go back to Chevron, you have to look beyond the US and understand that for anyone else anywhere else in the world, the idea of the courts deferring in their interpretation of the law to executive agencies is just ridiculous. It never made any sense. Its result was inevitable: a new government was elected and suddenly the law changed overnight because government departments all published their new "interpretations" of the law. That is just silly, it makes a mockery of the principles of the rule of law, and it gives too much power to the government. Law should be made by parliament (which you call congress, for some reason) and rulemaking powers should be explicitly delegated to executive agencies where appropriate. Vagueness in the law should be interpreted and resolved by the courts, not by the executive in a way that is subject to political whimsy.