How Are Polygamous Relationships Handled With Regard To Immigration To The USA?

DPRK mentioned the EB1-1 immigrant visa which is quite uncommon:

  1. Persons with extraordinary ability in the sciences, arts, education, business, or athletics. Applicants in this category must have extensive documentation showing sustained national or international acclaim and recognition in their fields of expertise. Such applicants do not have to have specific job offers, so long as they are entering the U.S. to continue work in the fields in which they have extraordinary ability. Such applicants can file their own Immigrant Petitions for Alien Worker, Form I-140, with the USCIS.
  2. Outstanding professors and researchers with at least three years experience in teaching or research, who are recognized internationally. Applicants in this category must be coming to the U.S. to pursue tenure, tenure track teaching, or a comparable research position at a university or other institution of higher education. The prospective employer must provide a job offer and file an Immigrant Petition for Alien Worker, Form I-140, with the USCIS.

Maybe according to #10 PNP can enter if he brings only 1 wife?

(10) MISCELLANEOUS. -

(A) Practicing polygamists.-Any immigrant who is coming to the United States to practice polygamy is inadmissible.

https://travel.state.gov/content/travel/en/us-visas/visa-information-resources/waivers.html#visa