I had written I will add bass management and subs, and your reply is I need a PA system. I guess we disagree.
You want massive output. That's not the usual requirement for consumer goods and it's not something consumer audio equipment is typically capable of, although you're not using your system in an extremely large room.
You also wrote "When I play my current system loud, sometimes the highs get harsh, and I am guessing it is from ceiling reflections, so I am very interested in this subject."- it's possible to exceed the 'good sound' limits of the room- the sound reflects from the various surfaces and objects at all times, but when the SPL is low, the reflected sound isn't always audible or, at least, it's not noticed. Once the SPL reaches a high level, the reflected sound is easily heard and when it arrives later than the direct sound (this is unavoidable), cancellation in the form of comb filtering occurs and this can cause the harshness you noticed.
The specification known as RT60 describes the time needed for the reverberations to decrease by 60dB and in a reflective room, it can exceed 5 seconds. It's bad for speech intelligibility, but it's terrible for listening to music at more than low level.
While all amplifiers distort, I don't know that yours was doing this. It would be helpful if it were possible to know it wasn't distorting, I suspect the room's reflections were causing this, especially the ceiling as you wrote, since that's not usually treated. Humans are more sensitive to most frequencies equally at high SPL, but the low frequencies will be less apparent when the SPL is high unless reflections are reduced. I noticed that the recommended amplifier power for the Focal speakers is 40-300W and your Parasound is rated at 600W- how far did you rotate the volume control?
Also, with sensitivity of 91dB/W/meter, the SPL in that room would have been close to 128dB. The Osha Noise Exposure guidelines indicate that at 120dB, the allowable exposure should be about seven seconds.