Like so many others have asked in times past… why would you consider a bivy? What exactly do you believe a bivy was originally designed for? Why do you believe that bivys should be used by ground hikers?
A SUL bivy can weight in the 150-170 gram region. A XUL bivy can be in the 66-85 gram range. But again educate yourself on what a bivy was designed for than ask if using it on the ground is the right way to approach your situation.
A polycryo ground sheet can weigh 45 grams.
You posted this in the SUL category of the BPL forums so I can only conclude that you are looking to be in the SUL/XUL category of hikers and thus you have to ask yourself the above type of questions. If weight reduction is your goal why bother with heavy gear?
On the matter of a sleeping bag that has WP material or not. That is an answer that can only really be decided on whether you want to use a bivy or a tarp/ground sheet or cowboy camping. And of course the extra weight for the WP sleeping bag. Do the numbers on your end and see which is the lightest for you.