No, the Gulf states do not have gaydar detectors installed at their ports of entry. But if you are a guest worker - one of the hundreds of thousands of South and Southeast Asians who enter the Gulf annually - you may be (or already are) subjected to an intrusive battery of tests to make sure your "gender" matches your anatomy.
Critics refer to "tests of shame" because in many cases, police doctors conduct these bodily exams of individuals detained on the grounds that their attitude and clothing don't match their physical appearance. Kuwait's health minister announced a proposal this week to make the screening for a "third sex" mandatory in his country, and perhaps across the GCC economic zone - which has a notoriously hard time coordinating comprehensive migration policies. Kuwait already has a law in place that allows the authorities to detain and fine anyone "imitating the opposite sex."