This is the minimum standard for AZ POST certification:
7. Not have been dishonorably discharged from the United States Armed Forces;
However, in a market absolutely saturated with applicants who have honorable discharges, I say you face an uphill battle. Expect there to be lots of questions about the reasons behind the OTH. You'll need to prove you weren't a bonehead over the last 10 years and changed your ways.
Of every one hundred men, ten should not even be here. Eighty are nothing but targets. Nine are real fighters, and we are lucky to have them, for they make the battle. Ah, but the One... One of them is a Warrior... He will bring the others back.
"Wrong door, buddy!"
Let no man's ghost say my training failed him.