The judge, James E. Boasberg, said he was likely to wait until next week to rule on whether the White House was in contempt of court for having ignored his order.
People familiar with the decision said Mr. Gibson, a supporter of President Trump, would be among 10 people with convictions to get back their gun rights.
A letter from the administration promised to withdraw funding from schools that allow certain D.E.I. programs. But what counts as D.E.I. may prove murky.