In my Insight, I was using a very similar setup - a supercap bank and a small LiFePO4 pack.
I now live somewhere that never experiences below freezing temperatures, and have switched to just a LiFePO4 battery. The pack is "PLFP-30L", and I estimate it to be ~7.5Ah. It uses pouches rather than cylindrical cells. It weighs ~2.3kg, or 5.0lbs, and is rated at 440CCA. Putting it on a tester, it measured in around 600CCA. It cranks my MX-5 noticeably faster than the stock Group51 lead acid battery. The reseller offers a 12 month guarantee, even in applications such as starting V8 engines in a marine environment.
I imagine a supercap bank would prolong the life of the battery, but currently I see no need to overcomplicate it if it's working well. Have you done any testing with just a lithium pack?
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