Strange, Chrome and Safari on OSX still render xml with referenced xsl stylesheets just fine (pointing to 192.168.x address). Browsers still have XSLTProcessor accessible in javascript too so I'm guessing they still have XSLT engines.
xsl-stylesheet with css works for me as well.
If you mean postprocessing the feed server-side with an XSLT sheet, to then serve the resulting page: sure, that would work, and a lot of people used to do things like that around 2003. It fell out of fashion because XSLT is just hard to safely combine with advanced JS-based features.