This is not anywhere near anonymous. All transactions go through "InvisiBuy", and you're trusting "InvisiBuy" to not keep records or even willingly give information to the Government. BitCoin may have it's flaws, but it's better than this.
Our customers do have to trust that we'll honor this pledge, but it is in our best interest to do so, since our entire model is one of retaining customer privacy. We try to limit the amount of information we collect on customers in the first place, and delete it soon (30 days) after.
Thanks again for your feedback, we need it to improve our service!