Upgrade path question with $2k to spend

Ok so how about this then.  I like to occasionally listen to the system loud.  I'm getting 200+ wpc through my yamaha.  The integrated amps I see are not even close to that kind of power. Suggestions?

Having everything separate means having lots more connection points and the various wiring to connect all of it together so a good integrated would be the way to go. The old, worn out thought process said monoblocks, and all the associated stuff to go with them was the way to go but technology has come a long way and modern integrated amps sound every bit as good as separates. 

As for WPC, chances are you never or rarely reach that 200 level and there are lots of integrateds that are rated at 120 or 150 wpc that will play as loud as you want (unless you're playing outdoors or in a concert hall). Peachtree and Parasound are two that come to mind.

Not the 6.

Save a bit more and go for the Rega Planar 8.

You can continue with your current cart and phono stage.

Will be the best bang for buck improvement and will withstand further upgrades downstream.

I used to use a 90's Sony ES, HT 5.1 amp to run my DIY (morel drivers) speakers and sub.  It was pre-HDMI and lacked other now commonly found  features that i needed.  I then started my first dedicated 2CH system with that Sony amp in Direct mode for stereo, and bought a Yamaha AX840 to backfill my HT setup.  It looks to be about $100 less than yours in the same line.  It totally destroyed the audio SQ of those speakers.  It was apparent on the first track.  As some above have also implied, I (personally)  don't notice the SQ issue in HT that much but that's me.  

In my current 2CH I also use the same cart and TT thru a Vincent Pho8 pre.   Using a now newer, tube amp ($4000 msrp) along  with a modded MHDT Orchid DAC for CDs, I feel the vinyl side holds its own very well compared to the well regarded DAC.  In fact both sources sound pretty amazing.  Not being that familiar with your speakers but knowing the brand's reputation it's my experience that your weak link is the power source.  No, I  can't fix the 2CH vs 5.1 issue at that budget but feel strongly your amp is not the 2CH amp your system is needing.    There are a slew of much better 2CH amps, new and especially used, for $2k.  Maybe work the speaker selector device angle harder and run 2 amps?  For the sub, try using the 5.1 from the HT and the hi-power inputs from the 2CH if sub has both?  Maybe others can help here as I've never "shared" a sub like that.

There has been a lot of good discussion here. From my perspective there are 2 bug upgrades you need to make; your analog rig and your amplification. Either one should produce a fairly large improvement. The amp is probably the less exciting thing to upgrade right now bit will pay huge dividends moving forward. For instance, if you upgrade your TT to something like a clearaudio concept (this would be my choice in that process range) you are going to get much improved sound, but you won't get all the table has to offer because your amplification is not designed for high end music reproduction. I agree that a dedicated 2 channel integrated is the right first move. I like the Rogue sphinx. It will play plenty loud. Later, you can upgrade the TT. And like russ said, be stupid on thr TT, spand more than seems reasonable, but don't do it until you have an amp that can reproduce it well.