This looks like one of those situations where someone who has moved from one culture to the other is so insistent on keeping the old culture that he goes further than people are now doing in his old homeland. It often happens that old customs are continued by expatriates that have died out in the homeland, and with more strictness than they ever had there.
Circumcision is indeed part of the Muslim religion, but no anaesthesia is not necessarily part of it, nor need it be "high and tight". Assuming this boy was in the West, he could have refused the procedure - indeed the urologist could still be sued if he failed to give consent. However, the result would have been estrangement from his father and (probably) his religion.