Please answer about this South Park bet: Could Cartman and Kyle be brothers?

My friends Jason and Craig have another bet about South Park. Here's Jason's bet: remember when Cartman's mom was revealed to to be a hermaphrodite and she tenchically her son's father? And it said at the end of Cartman's Mom Is Still a Dirty **** that Cartman real mother could be either be Mrs. Crabtree, Sheila Broflovski, Mayor McDaniels? Well if Cartman's real mother is Shelia then that would make him Kyle's brother and a Jew! Jason thinks Trey and Matt might do an episode about the identity about Cartman's real mother in future but Craig says that's a dead subject. So if Jason is right Craig has to pay his cellphone bill for a month and if Craig is right Jason has to buy him a beer on New Year's eye. So who is right Jason or Craig?

no fuking way

thats just stupid cartmans mom is on crack whore magazine but she's cartmans mom and dad and that makes noooo sence lol

Jason.

its possible but just because their brothers doesnt make cartman a jew, just saying...