"According to Reformed theology they (goats) do turn to satan because they have no other choice."
I don't think that all men "turn to satan because they have no other choice" can be found in the scriptures. In fact the scriptures say Isa. 53:6, "All we like sheep have gone astray; we have turned every one to his own way; and the LORD hath laid on him the iniquity of us all." We have turned into ourselves as gods int eh place of God. Satan is the "accuser", the "adversary" who tempts and deceives mankind away from God but there is only one scripture, in 1 Tim. 5:15, "For some are already turned aside after Satan." where there is a hint of turning to him.
Amen. It's the first commandment for a good reason.
"There is a way which seemeth right unto a man, but the end thereof are the ways of death" -- Proverbs 14:12