Abolishing the Lottery and Immigration Enforcement Now Act of 2022 or the ALIEN Act of 2022 This bill makes various changes to immigration laws, including by (1) eliminating the diversity visa program; (2) establishing additional penalties for non-U.S. nationals ( aliens under federal law) who overstay a visa, such as criminal penalties for an overstay and permanent bans for repeat overstays; and (3) eliminating the authority of the Department of Homeland Security to waive certain grounds of inadmissibility, such as for grounds related to the simple possession of 30 grams or less of marijuana.