Proud to Be Valley Trash?  The "big picture" is preservation of natural diversity, and domesticated rabbits imported from Europe are not "wild." People also apparently flock to Atlantic City to view and admire the feral cats that live under the boardwalk, but I wouldn't call that an example of bringing the wild kingdom to an urban gambling mecca.  

The Alaskan critters that tourists really go nuts about seeing are brown bears, wolves, moose and whales.  I doubt that an imported population of rabbits in Valdez will do anything to increase the odds of seeing those species.  If a wolf does decide to do a little bunny hunting in Valdez, it won't be long before it is shot or trapped.

If viewing bunnies is such an amazing tourist draw, then someone ought to open up a bunny petting zoo and the tourists can just love the furry little critters to pieces inside a fenced compound where they belong.  The bunnies, not the tourists.