Thats enough to build 2 PCs. One for gaming and the other for video editing etc. You'll be processing videos and doing stuff a lot if you're going to be a streamer.
Ryzen 1800X / Mobo Asus ROG Crosshaird + GTX 1080ti + 16/32GB RAM 3200Mhz up C14 / SSD up to you / WC Cooler or just a be quiet! Dark Rock Pro 3, Noctua NH D15.
This is a really comprehensive guide both on how streaming works and how the components you put in your computer affect streaming performance, as well as several builds for several different price ranges (check the $1600 and $3000 build).
this is my next build. Notice no power supply as I already have one, and also plan to use my same processor. I also haven't decided on a case or if I'm going to reuse my current one.