JBL 4367 shoutiness remedies?


Hello all, I am a first time post-er, so pardon me if I am clumsy with this venue. 
I live in a small town on an island in SE Alaska, and do not have immediate access to anywhere locally that sells hifi equipment besides Walmart. So after reading complimentary reviews, I ordered from USA Tube Audio a pair of JBL 4367 speakers, ..a two way design  with a woofer and a horn. I have about 20 hours on the speakers, driving them with a Primare I35 Integrated Amplifier and a perceived higher end Primare CD player., and for an alternate music source, I use Music Choice from my cable box. I also have a 10 band graphic EQ to tailor the  sound to my liking. The issue I bought when I paid for the speakers is a  loudly blaring shoutiness in the range of frequencies of the human voice. It can be loud and overpowering even with EQ attenuating the frequencies between 500 and 4khz. I called the dealer who I bought them from for advice..he told me the amp and cd player are junk, ($6000 junk) and the only way to fix the shoutiness was to buy tube equipment.  On some recordings, the speakers sound wonderful, but on some, it makes me question whether or not they're worth keeping. The room in the apt I have them in is about 15x18 with low ceilings. Does anyone have any practical suggestions or ideas on how to remedy or at least partially correct this issue? Thank you for reading.
deckhand
To all who responded, thank you for all the great ideas and suggestions.It is really helpful and humbling. 
There are so many who've taken their time to reply, and it wouldnt be easy to respond to each, although each truly does deserve a thank you for taking the time to make this issue better. 
I was told amps have their own sound, but first and foremost I wanted some power and oomph, and I wouldve preferred 300 wpc..along with reviewed sonic attributes complimenting nass extension smooth and detailed midrange and non fatiguing treble. I've heard of a "McIntosh sound",  and know that have powerful amps, but not sure if the overall sonic signature wod be complimentary to these speakers. The dealer told me my choice of amps was not a good match( his words weren't that polite or refined), and that a Class A tube amp was the only way I would be happy. But I couldn't locate a tube amp that came close to the power output I wanted, ..and to my pocket book, I couldn't afford one.
Comparing my CD player to the Music Choice from my cable box, Music Choice has a much more subdued midrange, and does a better job of keeping the  human voice toned down to the approximate amplitude of the rest of the midrange sounds in the recording.But the tradeoff is that Music Choice programming doesn't have the dynamics of the CDs. 
Based on a couple of suggestions, I will explore sound deadening material too..as long as I can use it and still keep my living room appearing neat and orderly. 
Based on a couple of suggestions,  I've spaced the speakers very close to 11 feet apart and then toed them way in so the horns are not directly aimed at the listeners. That did help attenuate the shoutiness in a way that was easily discernible. May have made the mid bass more pronounced.  Am very pleased for that progress, but still need to employ additional measures.
And before I forget, the speaker cables are Straight Wire Octave ll. 
I've probably used these speakers 20-25 hrs..and 4-6 hours at "like a teenager again" volume levels. So, one person suggested the speakers wont even be broke in yet. I am hoping that indeed that is the case, but from my understanding (or lack of), the horn doesnt really change its sound as much the woofer can as its surrounding becomes more flexible. 
Overall the sound from these speakers is superb, and even though I didnt come close to paying the retail price of $15K, I still spent what I consider a small fortune, and do want to try to optimize their sounds as much as practically possible. 
Again, I did not address or touch on each idea that was presented to me, but please understand I am simply overwhelmed by the number of people who were willing to take time from their own day to help me out with this. 
As Spock said..Live long and prosper.

1 - You need a new dealer. 

2 - I heard those same speakers with Bricasti equipment.  There was nothing "shouty" about the presentation.  The sound was wonderful, engaging and warm.  I'm not particularly a JBL fan but this was special.  I'd experiment with placement before anything else.

Good luck.  You've got great speakers.
Going from Cardas Twinlink to Purist Venustas speaker cables resulted a surprisingly large reduction in fatiguing high-frequency distortion. Cable swapping is relatively easy and may give you more insight.