Ujm
You don’t get to define equivalency. The law defines it if yiu offer regents yiu are in the clear.
Definitely of the new law see section 130.3 second bullet point.
(An elementary school attached to a high schol thst offers regents is considered equivalent)
Thus of the schools you listed Chaim Berlin, Yeshiva Chofetz Chaim, Yeshiva Darchei Torah and virtually every Litvish, Chasidish and Chareidim Yeshivos and Beis Yaakov’s Are substantially equivalent. And Chaim Berlin, Yeshiva Chofetz Chaim, Yeshiva Darchei Torah and virtually every Litvish, Chasidish and Chareidi Yeshivos and Beis Yaakov are not violating the law.
The more you know