You should be cool I rode up to Havelock and back on my bike 100 mile round trip for a USPSA match and while I got some looks I didn't get felony stopped or anything LOL.
If you look just to the right of my left leg you will see the barrel of my AR sticking out. I've also rode a few times with the Springfield or the Glock strapped to my hip but not often. Falling on to the nice hard pavement with a big hunk of plastic and metal strapped to my hip isn't something I look forward to doing. I'm also looking at ways to put my AR on the bike and not on me.