Don't have my truck here, but I think this is right. Toss the old alternator, regulator, and harness(or save them for SHTF). Then, all you really need to do is tape off the old wires out of the old external regulator and run about a #2 or #4 battery cable from the back of your new alternator direct to the positive on the battery.
More info than you need, but there's 4 wires from the old regulator into the wire harness on the core support. Ground to the body you don't need, brown wire is for the amp guage, then 2 more red(I think) - One to the fusible link to the little junction block by the battery, one spliced into the hot back to the fuse block. Also, you have a hot with a fusible link off the junction block by the battery to the fuse block on the fire wall. My fusible links were burnt up at the time, so I chose to clean up some wiring and got some new loom while I was it.