Hello,
I know this is an old post but when someone googles"Star Trek Fabric", it doesn't care and lists this as an option. Then when the searcher sees that someone else asked the exact same question, they are drawn in and trapped, like the Enterprise in the Tholian Web.
But alas, as mentioned in the title, there are numerous beautiful, very cool Star Trek fabrics available today, the only problem is that they are somewhat expensive. If you would like to take a look, go to this address:
http://www.spoonflower.com/tags/star%20trek
I am planning on designing some Trek fabric myself and having it made there. As well as some Dr. Who fabric possibly.
Hope this helps, it's the only option I know of,
MikeyJoe