They are not the same engine. the optima is a direct injected turbo engine, the genesis is not direct injection. The engines do not share the same layout and most components. Trust me, i spent a solid 2 years modding the **** out of a turbo gc.
as for the op, stick with your original plan of 7kish total, rebuild/upgrade a stock alt since they do not make one for your car and/or go with the 12k, get an extra battery or 2 and make sure you dont sit around demoing forever and keep an eye on the voltage. If you want to get crazy you can buy a generic alternator and fab up a mount for it.
I think what im going to go with is the following for starters
2x sq hdc4 15s
2x sq3500.1d
4x of those batteries I linked.
then a 50' spool of 1/0AWG OFC (for starters so I dont over buy)
Have my alt rewound to 300-320amps if possible.
For the general setup, wall in back seat, aeroport with detachable flares for like a 32-34hz tuning then a like 44hz tuning.
big 3 with 2 runs of 1/0 zip tied or wrapped in electrical tape to hold them tight together for each of the 3 connections.
2 runs of power from under the hood batt to first battery in the trunk bank.
1 run of wire between each battery in the bank (since its like a 6-8" run)
2 runs from battery to each amp connection.
2 runs of ground everywhere.
inline fuses in the following, within 8 inches of hood battery. 8 inches or closer to first battery in bank (so main line will have 2 inlines)
then in between each amp and battery connections.