Try that in New York, Chicago, Boston, Washington DC, and a hundred other cities in this country and then let us know how that "inalienable constitutional right" turns out.
Once you dig the gravel out from between your front teeth and they take off your cuffs you'll have to use both hands to call an expensive lawyer and open your wallet wide for bail money - if you're lucky enough to be allowed bail.
OC is perfectly legal in some places that you wouldn’t expect it to be. NYC and DC are two places where it isn’t currently legal.
There are countless urban legends out there about people who open carry being hassled, arrested, etc. Most of it is exactly that: legend. If you have a legal right to do something, you have a legal right to do it.