Help me understand the current amp market

I agree with @glennewdick that it will take a significant upgrade to best that integrated, very nice! If you like to play really loud, you might see some limitations with the power amp section and may want to look for an amp that doubles its wattage into four ohms. It also has inputs that would allow you to bypass the preamp section, so you could try some different preamps to see what you like. 
 

Given your ample budget, it would be well worth your time to visit some showrooms and hear some other brands, something might really catch your ear. I share the the same hesitance about wasting their time, but you are not, and they are used to it. 

@rmdmoore Thanks for the encouragement, perhaps I’ll go check them out!

@toronto416 Maybe once the kids are older I’ll look into getting some proper floor standing speakers. The Wisdom Audio speakers I have are line source with planar magnetic drivers so they’re the most musical architectural in-wall speakers out there. So for now, I have to play with the electronics to satisfy my audiophile itch.

@scott22 I agree!

@j-wall Yes, I’m still curious as well. I was recently watching The Absolute Sound’s High End Munich audio show report on YouTube and saw an amp brand that I’ve never heard of before. The internals were absolutely gorgeous and looked extremely well-made. I would think that all amps in this price bracket should look like this, with large bus bars and impeccably clean organization. I’d love to learn more about the details of how each brand manufactures their amplifiers. Here’s the link to the YouTube video if you’re curious.

@zlone Yes, I do like to crank it up a lot, especially when I'm listening to electronic music. I often hear people getting tube preamplifiers with their solid state amplifiers, but do you think that will work with the type of music I like to listen to?

Like several others have said, it’s going to take a fair amount of research to find separates that are as good or better than your Luxman. It is so sad there are so few hometown dealers anymore.  
On a personal note, I’ve been wanting to hear some Sonus Farber speakers.  There is no dealer, who has any of the four models I’m interested in within 250 miles of me.

All the best.

@jyaki Accuphase E-5000 or Gryphon Diablo 333? I would love to try the Gryphon Diablo 333, but it's a bit out on my price range, and being new I haven't seen it yet on the used market. "I think", and don't everyone jump all over me, that the Accuphase line in genal is a bit over priced and though the E-5000 is an awesome piece your staying with a Japanese build house sound philosophy. As a very general statement, my opinion is, that Accuphase, Luxman, Yamaha maybe Esoteric are competing against each other for a similar customer segment. Staying Class A and A/B, I don't see a lot of cross shopping between the Japanese brands and brands such as Hegel, Pass Labs and such.