TFN,
Get familiar with the Aviation Transport Security Act.
It is online and easier to get to grips with than it sounds.
Then at least your knowledge will be first hand.
Then you can justify whatever course of action you take by referral to the Act, if necessary.
The system is designed around terrorism, organised crime and violence, in a nutshell. Unless you got your DUI during the commission of any of these I would say you are ok.
And, there is flexibility in the system to assess on a case by case basis.