The problem you may have had if anyone decided to call LEO is that you are dangerously near a school zone. If you stay on the shoreline trails and in the pavilion area you are most likely OK but go west past Shore Drive and you are flirting with a felony school zone. I would love to take my walks in the park armed. But if I step off my property I have issues. Also Milw. County has a no firearms in the parks ordinance that they say they will enforce. If the charge actually sticks after a state preemption challenge is anyones guess. You could have been the man to push the issue through the courts had a Deputy been called.