You have chosen to replace components that have a high cost to performance ratio. There are tons of things you could do for much less money that would yield better results. The CF hood and trunk goes against what you say here; "or any modification that will easily make it obvious the car has been modified with often rather ugly", and at a very high cost without any performance benefit that will be noticeable to you. You won't notice the difference with the lightweight battery either.
From the list of your planned mods, the wheels will likely be the thing you notice the biggest difference from. But holy smokes, $1200! That said, I am considering Kosei K4R wheels at $800 for my car, really would rather find a used set.
If you're driving efficiently already, weight won't really make much of a difference in MPG.
With your cold weather, start with an upper grill block and paint it black so that it isn't obvious. Your car will warm up quicker, maintain heat longer, and be a little more aerodynamically efficient.
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