Nope, American PS2s won't work the imported games. I'm not absolutely sure about the PS2, but I know, at least for the GC that there is something you can buy (called Freeloader) which allows you to play imported games on an American system.
However, for the PS2, I believe you actually have to purchase something, open up your PS2, and alter something to get imported games to work. Um, I think think they're called "flip-top covers", or something. I'm pretty much in the same dilemma as you, I want the game, but I can't play it. I don't think I'm willing to mod my PS2, though, as it voids the warranty (if it's still in effect), and if you screw something up, you may end up having to buy a new PS2. Modchips do it too, but they're illegal and a big no-no (so don't do that).
You can buy these things, and as far as I know, they're legal, but they're risky too (and make your PS2 look like crap when they're installed). Basically, instead of having a PS2 with a door that pops out, you have a GC-like door to your PS2, if you can even call it that. I once had an online guide that explained how it works, but I can't find it now.
Looks like that.
Basically, unless you want to mangle your PS2, or at least risk mangling it, you won't be able to play imports on the PS2.