I just read how Chromebooks and Windows 8 are now supporting HTML5 playback on Netflix instead of Silverlight. The site is still requiring users to install silverlight (when you login from Linux computers) Is it possible to emulate Windows 8 or Chromebook?
According to Muktware, Netflix Adds HTML5 Playback, Support Coming For Linux. So not as of yet, but it will be available in the near future. For that time being you can use some workarounds that include running the entire browser in Wine, or running a Silverlight plugin in Wine and make it compatible with the browser.