That depends highly on the local employment laws. In Germany being fired for refusing illegal or unethical tasks screams for unlawful termination. That means a

That depends highly on the local employment laws. In Germany being fired for refusing illegal or unethical tasks screams for unlawful termination. That means a court case, which means the unethical request will become public knowledge. That's a huge thread even if the employer wins in court. Here your job would be safe, though you could be put in some dead-end position where you eventually leave on your own. Or you are offered a good deal for leaving quietly.