I haven't read all four pages, so this might have been said already.
The "problem" with TE is not the scientific method, naturalism, or what God can and cannot do. The problem is instead Biblical innerracy. I don't meet a lot of YEC who say God couldn't have created through evolution, but they claim that is not what He told us.
There are many portions of the Bible that we do not take literaly, and I'm sure some TEs here could list some. However, not taking the first few chapters or first 11 chapters or worse literaly is a much bigger step for most Christians. Indeed, in many contexts the very definition of liberal is attacking Biblical innerracy, and while you all may have come to peace with the Bible being innerant and yet having this huge metaphorical history which blends cotinously into real history, most (conservative) Christians have not been able to do this. Not only is there a smooth contiuum between Adam and Abraham to David to Jesus, but Jesus himself speaks of these men (such as Adam) as real.
Apart from Biblical inneracy, I think the only real philosphical hang up people have is death before the fall. They don't want to believe God created a world where death and "suffering" (namely, disease, virus, predators, etc) were created before "Adam" sinned.
I write this as someone who has been thouraglly convined that common descent is a reality, at least as far back as the first mammals, and who has yet to come to terms with this reality and the Biblical narrative. But a reality it is, and one the church will have to deal with as it moves forward. I think 200 years from now, evolution will be so common place, and everyone will finally have understood WHY scientists know common descent is a reality, that it will be accepted in the Church, just as heliocentrism is now, and those Christians will find it silly that we were so hung up over it. But what they will have that we don't is the realization that evolution is a fact and can not be denied, just as we know the earth does revolve around the sun.