Okay, now we know you a little better.
First, let's take a look at your options from a more objective point of view.
You have a degree in a non-technical field. However PoliSci is not an entirely useless field of study to a country at war. Seems to me that an intelligence analyst might need some knowledge of things political.
You have a non-felony, non-conviction, non-drug-related arrest on your record. Not exactly John Dillinger, are you? Learn this word: WAIVER. It is going to come in handy.
You need to talk to an officer recruiter. I can't help it but I am biased against local recruiters.
Let me spin a little yarn for you to make my point.
A young man walked up to a stable and asked the man there what it would take to become the winning jockey in a Kentucky Derby.
The stable man said, "Son, many a fine jockey started out by just working with the horses to get to know them better."
The boy asked, "Is there any work that I could do around here?"
The stable man handed him a shovel and showed him to a row of stalls that needed cleaning.
What is the moral? There is no coincidence in the fact that the first man the boy encountered had an answer to his question. There is less coincidence in the fact that the answer, coming from a man with a pile of shit to shovel, involved shoveling shit.
So, I think there is no coincidence that a Navy recruiter (who gets more points toward his quota for enlisting a nuke) would find problems with your arrest record and degree that somehow make you a better candidate to be enlisted than officer. BTW, that arrest on your record will impact your enlistment in the nuclear field as much as your chances for OCS. My uninformed guess is that it isn't going to disqualify you from either. It is the only arrest you have. It didn't result in a conviction (conditional discharges may have some element of admission of guilt, but they are not convictions), and it was a youthful transgression which did not involve drugs. Anyway, if the guy tells you that he can get you a waiver for this to be a nuke, what he's not telling you is that he could also get you one to get into OCS.
www.navy.com/officer