According to LMP, my fourth baby was 37w1d. According to first trimester u/s, she was about 36w5d.
She was born by ERCS, no labor, and had no issues with breathing, maintaining body temp, nursed fine, and came home with me 36 hours after delivery. She was delivered earlier than originally planned due to health issues with me, but even with a complete lack of labor and birth by c-section, she still did great. She was 7lbs 8oz at birth.
I think the vast majority of babies born during the 36th week do just fine. Given your circumstances, I'd think taking out the cerclage with the chance of a 36 week delivery would be worth the risk if the alternative would be an automatic section should you go into labor with the cerclage in place.