I believe that some of the small, luxury cruise ships still permit visits to the Bridge: e.g. SeaDream, Seabourn,Silversea. These ships typically carry less than 300 pax. On a cruise with nearly 2000 pax, highly unlikely that you could visit the bridge. The bright side is that you will be on a repositioning cruise which is always a great deal and you'll have more days at sea (Very nice, indeed).