While I agree, you have the right to carry a long arm, if you wish. OCDO was started for the express purpose of supporting handgun open carry. For whatever reason, LGOC is seen by many (mostly the anti-gun community) as going overboard. Handgun OC on the other hand, is not as much "in your face" as LGOC is. My personal observation is that, other than in group mode, about 95% of the general population doesn't even notice an OCed handgun. And around here, even when it is, it's getting less and less negative reaction.
Unfortunately, certain LGOC incidents have started a lawsuit between CADL (Capitol Area District Library) and MOC (Michigan Open Carry), and some other interested parties. As a consequence, LGOC is in less favor with quite a few people. You are of course, free to carry however you wish. But it would be better if you refrained from LGOC for now. I think you'll find LEO interaction more acceptable as well.
(Someone notify me if I am mistaken in any of my comments above. Thank you.)