Also remember you'll need a Z to F converter for your existing lenses. Add around $200 to your budget for that.
Regarding weight, you're right, with the Sigma 12-24 F2.8, the lens is so heavy, it doesn't really matter that much. It's a HEAVY build.
If you are shooting using the screen, the experience on the new screens is much better. They're brighter, higher res, better color, and they are touchscreens. The z8 doesn't have full articulation like the z6 so thats a minor detriment.
If you're making money from photography, my advice is to think of your camera purchase as an investment into the business. How much time will it take to pay off your new camera? What - if any - opportunity would you miss by using the D750? Is your money better spent on something else?