Moving to separates

I do need video so an integrated amp is not in the cards.

You would still be using the AVR for video/multichannel and the integrated would take over for stereo, and you could toggle between the two with the push of a button.  But if you need/want the Dirac for 2-channel as well then yes you couldn’t use an integrated amp.  By the way, if it’s still available this McCormack is an excellent 5-channel amp and is a screaming bargain at the price. 

https://www.usaudiomart.com/details/650104997-mccormack-dna-ht-5/
 

I am in no ways, smart enough to explain to you how a bunch of computer Nerds, who happened to like music. Were able to take a bunch of wires, capacitors, Diodes, transistors, toroidal transformers and put it in a box, mix it all together with some fairy dust To get glorious music to come out of it. I have no clue 🕵️. But apparently they have and and all I can say is thank you very much for your contribution to society.

… but an amp is about the only thing that seems reasonable

High-end audio is a small niche market above box store offerings, and can get very expensively “unreasonably” quickly. For Sonics, the entire audio chain matters: including source(streamer+DAC), preamplifier, amplifier, speakers, and cabling.

While the OP seems to have a great surround system, simply switching from the internal Integra amp to an external amp will have limited effect as the rest of the audio chain will likely limit Sonics. Usually it’s much better to split surround and 2channel audiophile systems as it’s extremely difficult to lift 2 channel Sonics to satisfying levels.

So to answer the OP’s question a better amp would likely be sonically better, but trying to squeeze great 2 channel sonics from a surround system is extremely difficult as better 2 channel components simply perform better.

I should clarify that on my computer I have a mix of stereo and 5.1 music, and they play randomly and intermixed.  Windows is set to 7.1.  Kodi upmixes songs to 7.1 automatically given whatever the current song contains.  I know most of y'all seem to like stereo music but I would never give up the surround sound.  Even when upmixing is required, it sounds much better to me.  And songs that are mastered to 5.1 are absolutely fantastic.  Envelops me from all directions.  This is why I am resistant to streamers, integrated amplifiers, and moving away from the Integra + Dirac.  Sounds so good, I'm not even sure I need an external amp.  Would be a real bummer if I spent the money and couldn't tell the difference.  Money might be better spent on speakers. Or a new house, lol.

Buy a good intergrated amp, more bang for the bucks.