For 1800W you don't need to uprate the alternator, becuase you could allow the battery to take the load and discharge, during high power scenarios. Its more important to focus on the batteries, than the alternator. Most people would never run their stereo beyond something like 200-300W, continiously.
I'd suggest a deep cycling battery, located as near as possible to the amplifier. But thats not so important becuase you can use thicker cabling. I am assuming you've gone beyond the point of preserving the full loadspace and have started to allow sub-bass boxes, etc to intrude into the boot. Are you planning on keeping the rear seats too?