[Former Presidents Jimmy Carter and Bill Clinton have proposed the establishment of a broadly inclusive alternative Baptist movement to counter what they called a negative image of Baptists and to address poverty, the environment and global conflicts.]
It's already been done. They call themselves "Unitarians"
The Unitarians are the nuballs who talk about the "moral authority" (but definitely not "divinity") of Jesus of Nazareth, right?
...or Purpose Driven.