I dunno, you are ready to spend serious money and you are dealing with what amounts to a box shop. It’s probably a stronger home theatre set up than a stereo rig, but that’s just my impression based on reading the list you provided.
I did a couple of different rooms over the years with large projection systems and racks full of pretty serious equipment, but always kept the two channel stereo system separate. There was one point in my life where the last thing I wanted to do when I got off a flight was come home and fiddle with a tonearm- I just wanted to press a remote control and see a movie. There came another point in my life where the home theatre system was literally collecting dust and when I moved, I gave away the 6 foot tall custom Mid-Atlantic racks to a friend who does pro-sound, along with most of the video equipment, which was dated.
Given the current plague, it isn’t easy to travel to see, hear and evaluate some other systems that high end dealers can offer. I think the trick, especially if this is somewhat new to you, is to visit those dealers in the US that purport to offer the best with your black card firmly locked away. And see what their systems designer can do-- since that is part of it too- the aesthetics of the gear in the room tend toward ugly in my estimation, unless you are a gearhead. (For example, it sounds silly, but if I were watching a movie, I wouldn’t be interested in the green glow of McI stuff in the room. Yeah, I know, you can turn off the displays altogether).
I’m not going to recommend equipment brands-- I will say this, though: home theatre sound is entirely different than two channel stereo. Given your priorities, maybe that’s OK.
This could be a hugely fun project and I don’t want to rob you of any of the joy of it; to the contrary, there are shops in the US that can really put things together and your budget might be strained, but you’ll get a sense of what is possible and work from there.
PS: I was a denizen of NYC and environs for decades, but starting living in Austin part-time around 2012 and relocated to Austin in 2017. I've found Texas, much as I love it, to be a virtual wasteland for high end audio. (Not so sure about video b/c I don't really focus on that anymore). There are some serious systems here, but depending on where you are, you may be forced to travel to see and hear some of this stuff.