I don't think they are frightened of God's presence in politics.
They are afraid of loudmouthed preachers like Pat Robertson and Jimmy Swaggert who claim that God has spoken to them personally, and that to disagree with them is to defy God.
So9
I haven't paid much attention to Jimmy Saggert, especially after his attempts to regain status.
As for Pat Roberson, I have paid quite a bit of attention and have not found him to claim that to disagree with him is to defy God. That is a common charge though, against those who stand up for God's clear communication of truth, via His Word.