So far, it doesn’t seem that they have broken any laws or whatever, that would cause the system to reject their workings.

They are breaking laws, including the constitution. The courts are trying to reject it, but have no method to enforce their rulings when the executive branch willingly ignores them and even explicitly lies the blame with the courts for trying to protect the system.

https://www.npr.org/2025/02/12/nx-s1-5294666/trump-white-house-constitutional-crisis-judges