At the very least, it will make things beyond belief expensive. As in someone will have to be paid to document each and every animal, upload them to the public database that is talked about in the data base, and that's just two highlighted parts under section 7. Ordering animals online is already reaaaaally expensive, and as Matt said, no one is going to want to do any sort of business with an American buyer or seller at that point. There will be so much "red tape" involved that the chances of the animal staying alive will be decreased more than it already is.
If we are made of cells, then a scientist who studies cells is actually a group of cells studying themcells!