Hi, Phil-
LBG and I don't have the same understanding of Jesus at all. I adamantly affirm the Deity of Christ. I disaffirm Filioque-Trinity error-upon-error.
My issue is with those, like Red, who have said LBG doesn't have eternal life when he stands on plain Scripture. Red provides no clear requirement for anything beyond what LBG believes. Based on what I've read, LBG can't be Arian, Binitarian, Unitarian, or Sabellian. He seems to have an undefined belief that falls between Transcendant Monotheism and Unitarian, but neither really describes his belief. It's unlikely he could be JW, SDA, or LDS with his belief.
Socinian would be a general term to describe non-Trinitarian beliefs of various flavors. He refuses the Trinity concept of three co-equal "persons".
Scripture indicates that believing Jesus is the Son of God is salvific. Along with his belief in the Virgin Birth and a literal resurrection, etc., I don't someone can call his salvation into question.