Hey folks, Just chiming in here. Thank you for the tag!
Andy has pretty much answered everything you need to know!
I did indeed do two JD tribute basses and my latest Fender is a nod to JD as well.
My first, which I foolishly sold was a "Wembley 86 era" tribute which started life as a CIJ (non-export model) PB70-US. I actually had a special order with Fender Japan as they stopped making the all black version at the time. I would highly recommend this instrument to cover the '68 Fender JD had as it is a very close version - but also it has the 40mm nut width which would suit your request in the OP.
My second tribute bass also featured a PB70-US neck, but I had Jon Shuker mate it with a stunning piece of timber for the body. This version went with the tortie pickguard and I alter sold it on BC as I knew I had a huge pang for the real thing!
Pictures below:
My JD tribute, but in this image it has a black guard and Billy Sheehan P pickup.
Picture two is a snapshot from Wembley 86. You will see, with reference to the discussion about bridges, that after the refurb, JD had a Schaller 3D (2000??) bridge added. Not necessary if you are going with the natural look.
and speaking of natural, picture 3 is my near-UPS-disaster and utterly gorgeous '76 precision bass. (I would have saved up for a 68 and found a couple I liked, but this one is my birth year) I LOVE it!!! Sounds amazing!