Ian, I have ran all 610 watts worth of my auxiliary lighting at the same time without any dimming of anything whatsoever. I never have a need to run that much all at once, but I've certainly tried it on occasion. My (early in the year) 2002 OEM battery died this summer, and even until then, nothing ever dimmed. It was a sudden death, which I have heard is common for our OEM batteries.
I think you've had your lights for awhile now, but am not sure how long it has affected your headlights. I only bring any of this up as I can't imagine this would be alternator related, but at the same time, I'm not sure why the lights would dim when the engine is on. I would say, definitely replace the battery as step one.
I had no idea wiring could potentially waste power. If you hadn't had a dimming issue until only recently, I would think that would rule out the wiring, and possibly point to battery wear. I really don't know, just thought I'd throw this out.
Good luck!