Why is everyone acting like he is committing a crime??
If he is going with the people he works with, they'd probably appreciate the humor.
Worst case scenario: JT refuses to sign and looks uptight and humorless. You don't lose anything from the experience and sticking it to the Buckeye Commander and Chief is something you can tell all your grandkids about.
Best case scenario: JT looks surprised that you were ballsy enough to do it and then laughs about it and signs away.
Either way it's a great story.
Reminds of when Sarah Palin came to sign books at our mall and my buddy and I went out and bought copies of Obama's "Audicity of Hope" for her to sign. Unfortunately security wouldn't let us, but we had a great time planning it.