And if they abuse their spouse physically, does that not inform their students, both male and female that hitting women is ok for a leader such as a coach?  

Or for a male in general to hit a female?

That's what leaders have to be aware of; they set the standards by their example.

Teacher does illegal drugs; illegal drugs are ok.

Teacher Drives under the influence, DUI is ok.

Feel free to put the title of any leader at the front of those statements.