I would not drive from AKL to AK unless you wanted access to your vehicle. It literally is a 5 min bus ride that lets you out close to the gate.
My home resort is Kidani and I never drive to any of the parks. There are posted bus arrival times in the Kidani bus station that I have found very accurate. Unless the bus driver is driving especially slow (which I've had those pokey bus drivers before), it's only ever taken max, 15 minutes-ish to get to any of the parks from AKL. You wouldn't gain much in driving other than you can leave AKL when you want. You then would loose your parking spot at KV and may not get a great spot in the parks' parking lot.
If I did drive, Epcot/HS are the only parks that could be a slight advantage IMO. Others may disagree because some people think the wait times from AKL for a bus are long. I've had them long at any of the resorts I've stayed. I've also had good bus karma and got a bus within seconds of walking up to the stop. I think if you just build in 10 min wait times for any one bus, you shouldn't have to wait long for any park.