Since we're talking felonies, when or even whether you get your driver's license back is irrelevant if you were convicted of a felony for violating "any Federal or State statute relating to the growing, processing, manufacture, sale, disposition, possession, transportation, or importation of narcotic drugs, marijuana, or depressant or stimulant drugs or substances" -- you are aviationally hosed, regardless of whether or not the conviction is a felony and whether or not there was a "motor vehicle action."
OTOH, the FAA does not have any specific regulation regarding even felony convictions outside those areas, including, say, "rape, murder, arson, and rape" or even "stampeding cattle...through the Vatican." The closest you could get is if you hold an ATP, you could lose it over the "moral character" issue.
Of course, any "motor vehicle action" (whether involving a conviction or not) "for a cause related to the operation of a motor vehicle while intoxicated by alcohol or a drug, while impaired by alcohol or a drug, or while under the influence of alcohol or a drug" puts your FAA tickets at risk without regard for if/when you get your DL back or whether the underlying charge was a felony or misdemeanor.