Good on them. I wonder if it will backfire though. I fear the following scenario:
Step 1 - Secularize the system so that the three governmental positions that were previously sect-specific now are decided by normal voting.
Step 2 - Whichever sect has the majority (or terrorizes the others into not voting) gets all three positions now instead of just one.
Step 3 - Using that majority power, they remove the secularism that got them into power in the first place by enacting rules that favor their own sect.

When there is democratic voting, and a population that loves theocracy, you get sectarian rule by the majority sect and everyone else just gets screwed. Constitutional blockages to this can slow it down a bit, but they can't stop it entirely unless the population embraces and supports secularism as a people.