The problem isn't fiber length. The problem is that the fibers are impregnated with resin, with strong chemical bonds.
The carbon fiber is then chopped and used as reinforcement in other material likes plastics. SGL Group, who supplies/partners in production with BMW, even uses reclaimed and production waste in it's production process for the new 7-series.
A more technical breakdown and state of the industry can be found here: http://www.compositesworld.com/articles/recycled-carbon-fibe...