I've been running at WHQ off and on for ~15ish years both as a guest and as the general public. I have seen people asked to leave the Michael Johnson track and the Hollister Trail. Reason? Not blending in and getting in the way of other (Pro) athletes. The Hollister Trail does have a rent-a-cop on a scooter that patrols the area. Seems like a D, always mean mugging everyone. Ignore him. Oh, and don't bring your dog on the trail either. That's an easy way to stand out.
My best advice?
1. Wear Nike gear
2. Blend in (see #1 on how to do that)
3. Act like you've been there before
4. Don't go on the track when athletes are running/working out
5. Don't try to "race" anyone you pass/passes you- you will probably lose and look like a tool
If you are chill you should have no problems whatsoever. When not under construction (as is currently) it's a real pretty campus.