I found out looking for a fully regulated power supply which converts 120V 15A to 12V to the higher amperages extremely difficult. Even if you were to find a passable power supply, you have a pretty cluggy setup. You're better off just buying a home use power amp like this one:
http://emotiva.com/upa1.shtm
It has more power than the amp you've linked to and you don't have to deal with a Macgyver'd setup.
Also, you're going to have to build a purpose built cabinet for that subwoofer for home use. Car subs utilize the trunk volume as part of what it needs to generate bass. In a home setting, you'll have to translate that overall "cabinet" volume to an actual enclosure and then tune it appropriately for that driver.
My advice, is to just throw the stuff in a car where it's meant to work. If you're looking for a sub for home use there are pre-done packages for not so much money which will yield an overall better result.