Unless you are suggesting that the proceeds of the ICO would be used to purchase btc-e debt at a discount, however this would be difficult because afaik, there is no way to even begin to verify debt claims without access to the btc-e DB.
Even with access to the database, this would be very difficult. Over one million accounts and no required verification. I wonder what percentage of the accounts have anything associated with them besides username, email, password, IP logs.
Fair enough, who the hell wants to send BTC-e their documents? But I guess that's why we're in this mess...

Yes, it would be very messy for as long as the btc-e website is offline/down. In theory, the US government could bring the DB back online and allow users to transfer assets among each-other for the purpose of assigning debts.
Another issue is the fact that the US government does not appear to be holding any of btc-e's crypto assets. The btc-e hot wallet still contains around 400 BTC, and does not appear to have been drained. If the US government did not seize financial assets of btc-e that ultimately belonged to their customers, then their customers would probably not have a claim against the US government just because they forcibly caused btc-e to be shut down.