No, we don't have a Bill of Rights. We have no supreme law. Nor should we. That just drags large, societal disputes into the courts rather than the democratical

No, we don't have a Bill of Rights. We have no supreme law. Nor should we. That just drags large, societal disputes into the courts rather than the democratically elected Parliament. That means that the highest courts become political battlefields. See also political appointments to the USA's Supreme Court. The Bill of Rights Act and the Human Rights Act are ordinary law. If a future Parliament wanted to breach the rights provided in those statutes, they need to face the political force of doing so.