You wouldn't be discharged under Article 10. Article 10 of the UCMJ is the article which covers restraint of personnel charged with offences - Article 10 is why you'd be held in confinement, not why you'd be discharged.
An individual with a dishonorable discharge would receive no veterans benefits at all, is prohibited from ever owning a firearm, and in some states has a loss of civil rights equal to that associated...