I see the brown wire goes straight to the ballast resistor. I think I will keep it seperate from the connector as in my 3rd picture, and maybe insert a fuse into it. I think it's a 14 gauge wire, and I'm thinking a 10 amp fuse. I dont think a #14 can handle much more than that, and hopefully this wire never carries more than that, but I have no idea.
Will this help?