akuperma: The problem is that religious Zionists hold that the Medina IS the halachic successor of the Kingdoms of Yisrael & Yehudah. Once you disagree on that point, everything else diverges as well.
What the Medina is in Halacha actually is a decent question. From Satmar (The Devil Hees-self) to RZ (Reshit Smichat Geulatenu), the span of shittos is extremely wide.
IMHO (and I am aware tiny me doesn’t have a seat at the table of Giants), we could probably learn something from the shittos as per what status the Chashmonai regimes had, which were also not Al Pi Halacha and “rejected Torah as the source of law”. I have a feeling (and some basis) that it would be a Machlokes Rishonim. However, no one thinks that it had the dinim of Malchus similar to that of Shaul & David HaMelech.