Hey Dave,
Looks like you should take off about 3/16" to get it to spec with the original arrangement. I have found that a lot of the newer back plates (threaded or in my case D1-3) have a lot of extra material to allow the end user to modify to what they require. You will note how much wider the face is on the bump out compared to your originals as well.
Once you machine it down, thread it on and check to be sure it fits flat to that landing in your second picture (where your ruler is touching). Then you can skim the face of the plate. Does the landing on your new plate fit snug inside the recess of your chuck? Do the bolt holes all line up?
you will need to skim the outside bolt face of the plate and also then machine the landing for a snug fit into the recess of your chuck. Make sure the landing is not deep enough to bottom out in the chuck so that the bolt face of the plate sits flush with the bolt face of the chuck.
Once you have a snug fit - bolt the two together, check the run out, then you can machine the outer edge of the new plate flush to your chuck.
I then stamp a 1 on the plate and chuck to locate its fit if I ever take the two apart.
You have material to work with so get the landing diameter to be a great fit with the chuck - take your time and use light cuts and multiple fits.