You repeatedly ignore that if Christian Jews were to try this, it would be a most unproductive route to evangelizing Arab Muslims. A Jew is the last person they'd trust. We may wish it were otherwise but there is this little matter of a historical enmity going well back before Mohammed. There ARE Christian missionaries in Muslim countries, as well as missionaries to Muslims in highly Muslim areas of Western countries. I know some of these missionaries personally. They have the patience of Job. This is not a matter of a Billy Graham call one night in a tent, this requires relationships that are worked on for years and years.