Without discussing whether the particular case currently in the news actually qualifies as the situation I’m describing, consider the following case:
In his private life, an employee of mine is engaged in behavior I believe to be wrong. There is nothing in this matter that relates to me or my business. (Ignore public pressure put on me; or assume the public knows nothing about this case. Assume also this is not legally-protected wrongful behavior, vehameivin yovin.)
Am I permitted under halachah to suspend or fire this employee as a coercive strategy? (He will not easily find work elsewhere.)
Somewhat related: Must one give notice?