It would only work if you can power it properly... and that will be an issue.
I don't think you can't run it off PC 12V, way too little amps.
(I know, I've tried it, with a 2x100W car amplifier... similar to the thing you linked to, though it was only Eur 20,=)
I ended up using this: Kampo Sub100A
But, I'm not using the same kicker you are using, I'm using a speaker-shaped-type-like-shaker...
Maybe if you use a car battery?
And charge it continuously?
Yeah, more stuff to buy ...