The new Trump administration may be heading in the direction of disobeying court orders that go against it. If they do so and get away with it, there are likely to be dire consequences for our constitutional system. An administration not bound by court orders is ultimately not bound by the Constitution and the laws, either.
Evidence indicates that the Trump administration is in violation of court orders in as many as three separate cases. A federal court in Rhode Island has ruled that they violated its previous order barring Trump's funding freeze on federal grants. There are also indications that the administration has violated court orders against policies freezing federal grants from the National Institute of Health and FEMA.