No. Autosexing can be difficult to maintain, even within purebred lines. It takes a lot of careful selection to get a line to breed true, and it must be strictly maintained or it could be lost. You can't just breed any two Bielefelders and expect to get autosexing chicks, at least, not until you've done several hatches to make sure.
There would be absolutely no way to tell the male chicks from the female chicks if you bred the Bielefelder to the sexlinks. They would all likely be barred and red.
A barred red...I may try that just to see. Sounds neat!! I actually have blue Jersey giant chicks now and had thought about breeding one of my Bielefelder hens to a blue Jersey rooster this spring. I don't know I just can't seem to kick the chicken addiction I love them all.