As a US citizen we have oversight and control of our law enforcement, especially county sheriff. They are beholden and answer to us in theory. Some Mickey Mouse tribal pig doesn't. I won't have to worry about dealing with a tribal cop with a grudge against whitey in this state but if I did I wouldn't recognize their tribal authority and I'd make it a federal case if need be. I don't give a rats ass if the sheriff anoints them by decree because that ain't how it works in America and an unlawful order is still unlawful.

Besides most tribal cops are too busy stealing kicker motors and crab pots to worry about upholding the law. If there's reciprocity then our cops can go onto the Rez and enforce our RCW's. I'll bet that'd go over about as well as a fart in church.