Honestly, for all that, I'd just run a some new wires. A few feet of 4ga. (Probably overkill, I know leds hardly draw any power) is good and cheap. I'd fuse it too, but that's just from seeing a few hefty investments burnt to a crisp for skipping a cheap ass part.

However, your initial idea seems fine. For the record, i'd most likely use a fused distribution block in addition to the stock fuse. Then again, I tend to over-do things in the wiring department.

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