Naw, bro! Glued together they will be twice as stiff as either is now, and if you are gluing up a Perry R/D, it will be even stiffer still.
Anymore, depending on wood, I add a powerlam at the handle, and maybe 1/16" reverse tip wedges and start with a 3/8" belly core, just to save wood. With bulletwood, ipe, BL, and goncalo alves, that's plenty and if I have to play with the width I do.