A query field is not stored in the database. You can not filter a userlist on a query field. The best way to do this is to have a regular date field where they supply their birthdate then in your userlist use Advanced filtering, which lets you add custom SQL directly to the WHERE statement of the userlist query. The below should work.
Filters: Advanced:
Code:
MONTH( `FIELD_NAME` ) = MONTH( NOW() )