Mining Bitcoin to fund a website is eh if anything, a website should be able to find a way to break even and not end up as a money sink. In WikiLeaks' case they break even off of donations and being a powerful site browsed by a number of people.
There is no point hosting something that doesn't have the ability to break even, and even then a website is relatively cheap to run a majority of the time.
I'm not saying that they pay for the mining equipment. I'm saying that people like me would. They wouldn't be spending anything. So it doesn't matter if it runs at a loss. It's a win overall.