Can you please make sure that for at least one year or two the domain name won't be dropped also, as I doubt the renewal fee would put a financial strain on you ?
By this we can make sure that the name won't be acquired by someone with the intent to profit (scam) based on your hard earned reputation.
This is one of the most important things Bitmixer has to do. Their domain expires in just a couple of months, so anyone registering it could scam masses of people on Reddit, Bitcointalk, Slack and basically everywhere. They already do it with copied sites on slightly different domain names, so imagine what power they'd have on the real domain.By this we can make sure that the name won't be acquired by someone with the intent to profit (scam) based on your hard earned reputation.
Note: I've never used BitMixer so I won't miss it's services. One of the reasons for not using it is that the coins I get back are most likely from someone who's trying to hide worse things than me 
When you used Bitmixer, they would give you a "Letter of Guarantee" (mentioned here) so that you could prove that you sent funds to their site (signed message from their address + signed message from you = proof).If the authorities came knocking, you could just prove to them that you sent your funds to Bitmixer, and therefore that the tied coins were not yours.
As for Bitmixer shutting down because they believe in transparent transactions - oh, woe is me. I suppose I'll have to use mixers which are exactly the same as them or sometimes better. What a shame.