First of all, that was a smart ass remark about 1945. Just a joke basically, but the fact is that we will determine when we leave Okinawa, not them.
There are around 50,000 Americans stationed in Okinawa, about 30,000 of them troops. Of them, a very small percentage are bad (rapists, thieves, murderers, etc). That's just a simple reality. Pure numbers.
The political reality is that every small incident that wouldn't even make the blotter over here is a flag officer level issue over there. That's why you hear so much about misconduct; not because there is a disproportionate amount of it.
That small percentage of "bad people"? They don't have any regard for the laws and regulations that we already have. Making a new one that forbids alcohol won't help even a little. If you're aiming for a "screw everybody to make a point" type gesture, then ask yourself how well that works over here. I haven't seen it work too well, honestly.