However let's say a judge immediately tossed any woman wearing a hijab from the jury pool in such a case. Would that be possibly unconstitutional?
Question could also be asked for Mormons or any Christian denomination that forbids all alcohol consumption. Although if this policy banning Mormons was implemented jury selection for such cases in Utah might be often difficult.
In theory, judges are only supposed to be doing removals for cause. Seems dodgy under the Equal Protection Clause to make blanket judgments based on perceived religious affiliation. Attorneys, however, are generally able to make peremptory challenges on the basis of religion w/ no problem.