at Codeship (https://codeship.io, I am one of the founders) we support Bitbucket and have been for a while. We use LXC as well and are currently looking into Docker for our next infrastructure steps.
I love github and have never used bitbucket or any other service, however I'm always disappointed that no one has tried creating a library that provides an abstraction layer for many of the features on github and other companies like github. This would help foster diversity in a market that is currently a monoculture.
