Integrated all in one for a second system

Most Focals are on the cool side so I might not want to go with Hegel because they are on the more neutral side. For focals, I would go with a warmer amp from the likes of McIntosh or Classe. In my 3rd system, I have the all in 1 auralic Polaris with some nice revel floorstanding speakers. I would suggest this Polaris all in 1 over the naim but it might not help the focals. 

For reference, I heard the speaker that naim and focal built together, the divas, and they sounded terrible, less technology than other much cheaper and better sounding speakers, and the divas were $40k

I'd have a look at Linn DSMs. The combination with focal may not be very warm.

I am using a Moon ACE in my home theater in bypass mode. 

I have a Hegel H390. You can use it as a streamer only for Spotify. For Tidal you need to either have a wired connection or have another streamer. The DAC is exceptional for an H390.

Another one that I have owned in the past and regret selling off is the Naim Uniti Atom- much less than your budget- though it sounds exceptional. The low power rating doesn't fully tell one what this amp can do.

I would second the current Hegel integrateds.  Just to note, they are also a Roon Ready endpoint, which will get you Tidal and Qobuz.  

I'm probably going to go that way myself on the bedroom system and downsize the stack of equipment in there.