Not all theists or even Christians reject ECREE. One example of a Christian apologist who accepts ECREE is my friend Glenn Miller. Glenn writes:
I personally agree with this principle…and so does God, apparently…why else would there be such an emphasis on it in the bible?
The only issue I would have with the skeptic would be how ‘extraordinary’ does it have to be before it counts as ‘extraordinary’?
Glenn then proceeds to argue that the post-mortem appearances of Jesus do constitute extraordinary evidence for the extraordinary claim of Jesus’ resurrection. In this way and at a very high level, Glenn’s approach is very similar to that of the McGrews.
I think Glenn’s approach (and that of the McGrews) is the best possible response to ECREE: agree with the principle and then argue that we do have extraordinary evidence for an extraordinary claim.