I wouldn't trust them with a driver's license (why would they even need that?), but I'd trust them with name/address/phone/email information, because that's the information that seems far too readily available already.
I know they need it because a lot of the info-searching sites that they "opt" you "out" from require it. I feel like I read that some need SSN too but I'm not sure about that one.
Also note that SafeShepherd has this fine clause right at the end [1]:
"You agree that Safe Shepherd isn't liable for any failure to comply with these Terms."
What is this supposed to mean? Would you accept it?