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Yea, you really don't want to run the ground directly back to the battery. Most likely that is the reason for your engine whine.
Running the ground back to the battery is not a cardinal sin, but it's one of those "really bad things (tm)" because of the problems that could develop. I'd guess the length of that wire is around 10ft, much longer then any other ground wires in your car. The resistance, albeit small, of a wire that long can lead to the whine (especially if using a 16guage wire or thinner) since your other ground wires will be much shorter.
Also, your bypassing the normal flow of return electricity and creating two grounding paths. Again, not the end of the world, but if you ever have a short and something's not fused right you could end up hurting the car's ECM or similar. Trust mean, it can happen -- I had a power wire going to my amplifier sag from heat and end up toucing my exhaust system. Eventually melted the plastic coating of the wire, and shorted out when metal hit metal. Blew almost all my fuses and could have been alot worse -- just saying unexpected things can happen =).
Don't mean to sound like I'm lecturing, but giving that background information on the topic to help others!
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