Facial challenge is first analyzed as-applied in the context of a direct appeal of a criminal conviction.
Statute prohibiting the possession of a bullet by a dishonorably-discharged former soldier who was found guilty of felony-equivalent conduct by a military tribunal is substantially related to an important government interest, and would therefore not be barred by the Second Amendment.
http://www.ca2.uscourts.gov/decisions/isysquery/05194beb-c7ca-4533-89f8-3cdc4043f522/2/doc/17-287_opn.pdf#xml=http://www.ca2.uscourts.gov/decisions/isysquery/05194beb-c7ca-4533-89f8-3cdc4043f522/2/hilite/
Since 2011. An occasional commonplacing of the U.S. Circuit Courts of Appeal.
Neither an authoritative statement of the law nor legal advice. Quick work.