Will these work like the bulbs I have now, with the Harley run/brake/turn module?  Or do I have to buy a Kuryakyn module?
Thanks in advance for all replies, and if anyone has this setup please let me see it!  Thanks again.
I don't honestly know, but I do have the Kuryakyn lights you have numbers of except my LED taillight is red but have smoke front and rear turnlights.  Have had for over 2 years.
I also have the 4859 rear controller, 4857 alarm compatable load equalizer, and the 4837 load equalizer adapter.
Everything works the way that it should.  I also wired in load equalizer(s) for the front turnsignals under the fairing (they come with the front signals, can't remember if there was one or 2 of them for the front).  The rear equalizers simply plug in with the above adapter.
The front and rear LED turnsignals are single pins (not dual like a 1157 bulb).  
As much as these lights are, I would spend the extra money and use all Kuryakyn parts even though the MOCO controller you have could work.  I went directly from stock to the Kuryakyn items.
If you don't have  a source for the lights, I bought mine from Mark at 
www.mandmcycles.com  and got about 20% off list. Hope this helps a little.