In your call for a constitution, you make a common mistake when you assume/assert that the seperation of religion and state is an automatic feature of democracy. You have the US and French models in mind. However, there are other models where the two are intertwined. Denmark, for example, is a democracy with a state religion: Evangelical Lutheran. Norway also recognizes the Evangelical Lutheran church as its official religion. The Irish constitution makes specific refererance to the Holy Trinity and Jesus Christ in it's preamble, while Greece declares the Eastern Orthodox Church of Christ its official religion. In England, the King or Queen is the country's head of state. By law, the King or Queen is also the head of the Anglican Church. That is, England's head of state is also the head of a church. As part of the commonwealth, Canada and Australia recognize the King or Queen of England as their head of state as well. I would be carefull before automatically assuming that a constitutional democracy is automatically secular, or otherwise incompatable with religion.
Israeli soldier lightly wounded after being hit by car south of Hebron (Haaretz)
from the article: Civil uprisings demand a constitution