A friend of mine got into AN in 1981 while having a drink-driving conviction which he copped at 18. He said Henry was satisfyed though as it was a first offence, no one killed, no damage to property, and no further incidents had followed since then. And my mate had pulled his head in well since then.
Given the massive competition between jobs these days Id say carrying a conviction against you for anything can only be a handicap. All you can hope for is that the potential employer can see through to your bigger picture.