[font=trebuchet ms]I don't know about Lindy Fralin pups, but DiMarzio wiring uses the braid strictly as a shield. The Fralins may use the braid as one of the conductors from the pickup coils. Check into that.
Do [u]not[/u] solder any of your ground connections to the back of a pot! Since you're starting from scratch, there's no excuse for not doing it right. Check out the wiring diagrams and instructions at >Guitar Nuts< for info on shielding techniques. The >DiMarzio< website has a lot of good stuff on how to make best use of those 4-wire pickups. Be aware that the Lindy Fralins may not use the same colour wires in the same way, so be sure about which colour goes where.[/font]