The U.S. Constitution has all these nice phrases like "due process of law" (see 5th Amendment), but they don't really mean anything if the government can take your property away without your having been convicted by a jury in a fair trial where you had adequate legal representation. Nothing terrible would happen if the government were to leave the web site up until a jury convicted these people.
If you were accused of a crime, wouldn't you want to have a chance to defend yourself in court before you had your property taken away?
It's the same basic principle.
The point is, there's stuff like formal charges, warrants, and so on which have to be taken care of. The cops can't just impound your car because someone said you were using it to ship stolen property - they need to get a warrant.