Should local churches be required to give up their property, and the use of the religion's name, when they

I can only answer for the Methodist church. Since we are a connectional church with a district and a conference. All methodist churches ( the buildings) belong to the general conference. Local congregations do not own the buildings.So it is not so much a matter of confiing as it is making sure that the property and it's inhabitants are upholding the standards that the general conference has upheld. I have seen people go through seminary,become a pastor and then try to change all of the doctrines or completely preach doctrines that go against what our denomination believes or even what most Christians believe. For example, we are hearing from some false teachers in our churches teachings which go against the validity of the Trinity and bodily ressurection. It is the responsibility of the general conference of our church to protect all of us from false teachings. Our way may not be right -we may not have all of the answers but they are our ways so yes I believe that if you find the doctrine of any denomination uncomfortable than maybe you should look for a church that better suits you. The Bible teaches us to respect the athority that God places over us. If we can not do that than we need to move on. We are called to protect the Word.