The best way to approach things is to find allies in the Islamic world who share a vision of tolerance and openness and who recognize the concept of the Abrahamic religions as having a common core of beliefs.
Orderly planning for closure or consolidation is definitely the way to go. Holding on for the sake of holding on is not. I worked with many rural churches in Kansas which had served their purpose for a century and could no longer maintain aged buildings or gather much of a congregation. Yet trying to keep the doors open no matter what was their agenda. It took much pastoral work and grief work to bring their lifespans to a gracious, graceful close.