1. Real numbers
2. What's the probability you misclassify someone innocent?
3. What's the probability you misclassify someone guilty?
4. How many people are going to get busted over some unrelated crime like marijuana, which you would find at the same rate if you investigated non-muslims with the same gusto?
2 & 3 will tend to cause you to fail to achieve the original goal. 4 will cause you to create a systematic racist bias
edit: I mismathed my random numbers