Who prevails? Both in their prime. Before writing Bivins off, remember, he had some very good wins vs some of the top light heavies/heavies of his era. Off top of my head, I know he defeated Moore and Charles.
Bivins decision for his wins over Moore, Charles and many, many other contenders (seriously, wtf?) Quarry's losses to cuties like Machen, Ellis and even Patterson don't spark confidence in me for this one.
I'm sure that the guys from back then would have more of a chance in the common fans' eyes if more people were well acquainted with multiple eras of boxing, rather than just one or two.