Sure they will leave if you no longer want federal funds. Make a decision.
The government needs to take such a stand and make it clear, "You take federal funds or receive them in the form of everything from college funding to student loans and we can come on your campus to recruit without harm. If not. Do not take or receive our funds."
Simple! The government needs to make this VERY clear. After all they are dealing with the maturity of two year olds.
Yeah; well it's kind of tough when you have two year olds in DC running the response. Gates won't do squat; his Chief won't let him.