I know that the courts are still ruling against Trump and the Republicans fairly regularly, but then I hear about situations where they’re simply ignoring the courts’ rulings and little seems to actually happen as a result.

There has to be a mechanism of enforcement for an order to having meaning. For non-lawyer disobeyers, normally what a judge would do is hold someone in contempt and have federal marshals or sheriffs arrest the person. In this situation, no federal judge is going to request the US Marshals arrest a member of the Trump administration because it would create a constitutional crisis and because the executive legal team would immediately appeal it to his Supreme Court who would overrule them. So a smart judge doesn't want the crisis and knows they will get overruled and won't use federal Marshal arrest power. As a result, there is no mechanism for non-lawyers. A lawyer like Janine Pirro may have to deal with an ethics complaint, but most of the people in the executive branch doing arguably illegal things aren't lawyers. So then what? There's no solution to this, it's uncharted territory and a complete disaster.