Request advice-need "brighter" speakers than Totem Hawks

"....The high frequencies are uncrisp, rolled off severely, muted, and just lacking generally, especially on contemporary works (jazz, rock). I don’t hear cymbals, hi-hats, or rich, crisp snare drums (yeah, I’m a drummer). Listening to my favorite disks is a deeply disappointing experience, Though classical sounds ok to fine...."

hmmmm.... something is very wrong here IMO.

i owned both the ARROS and FORESTS (original before they dropped the Dynaudio drivers and swapped in Chi-fi ) simultaneously in a prior system , and a rolled off or muted  top-end firceither was never ever in the cards.

in fairness optimum performance in the FORESTS required bi-amping with an addition of a separate 100wpc hi-current power amp to the integrated amp, and swapping in Totem's own silver plated OCC speaker cables to match what's inside. 
I found them to be fussy with ICs and speaker cables but not so bad as you described the output.

im stumped ....

Update: (the one where I make progress, I think):

Room/Space Treatment Gurus (you know who you are): I opened up the window coverings on 100% of right wall: ~125 Sq ft. of glass is now reflecting into the room, rather than the textile window coverings that were closed over the wall. The good news: I could hear more highs. The bad news: the difference was quite small--I was reather pleased I could detect it. 

Power Conditioner (and anti-so) folks: I have now got the power amp directly in the wall, and the other gear in the power conditioner. There is no longer surge supression on a separate (Monster) power strip. Just one thick gauge power strip running off one socket of the conditioner. The other three conditioner plugs have CDP and Pre Amp and DAC in them. It's a cleaner hookup, and the difference from taking out everything (and running off the wall directly) has persisted, I think. 

Near Field People (you are wise, soix et al): I followed the advice of several of you (finally). I stuck my ears at the center of the bass element and then the tweeter on the Hawks, while listening at very moderate, then slightly louder levels to Sultans of swing. Range 1-2" from the plane of the speaker housing (or tweeter dome). I think this is a serious finding: Left tweeter almost nothing coming out, with nothing in the upper-highs, and maybe nothing in the mid-highs. a little low-highs. No distortion at all (I think this is important--I listened very closely). Right Channel: Interesting--I heard the lo-highs, mid-highs, and hi-highs--all of them, but overall the signal was very very attenuated from what I might expect. It was not the case that "if I had both speakers firing like the right one it would be great. The right tweeter was, on an absolute level, was attenuated. 

Please comment. Thanks.

I'm thinking, after the amp swap-in, I'll contact the dealer about Hawk service possibilities. I may also try sticking some other, much lesser speakers into the system to test: Axiom M3 v3. I will have a lot more data than. 

ghosthouse and others who think it's the speakers: I think we are homing in. Thanks. It could still be the Sim Audio Moon P-5/W-5. Hope not. The speaker swap-in I mentioned above should help. 

There is a pair of VMPS RM30 speakers with Auricaps in the back pages of Audio Circle VMPS.  I've had a pair and currently own an awesome pair of RM40s.  These are floorstanding speakers with a slim profile.  You can adjust he speakers to fit most any sound you desire.  The speakers set to a fairly normal level would be described as dynamic, high definition, transparent, with a great soundstage in which you can easily locate where the musician is playing.  You get a lot of speaker for the money. The pair I mentioned are over $5000 new and the seller is asking $1600.  If you live somewhat near southern California, you should contact him.  For his asking price, you can't get better sound for the money.

I think this is a serious finding: Left tweeter almost nothing coming out, with nothing in the upper-highs, and maybe nothing in the mid-highs. a little low-highs. No distortion at all (I think this is important--I listened very closely). Right Channel: Interesting--I heard the lo-highs, mid-highs, and hi-highs--all of them, but overall the signal was very very attenuated from what I might expect. It was not the case that "if I had both speakers firing like the right one it would be great. The right tweeter was, on an absolute level, was attenuated.

How are your cables hooked up to the speakers; is it a single-run of cable from amp to the binding posts? Are the upper and lower binding posts connected together with the stock jumpers?
It seems like your crossover is not functioning.

Are you using the upper or lower set of speaker terminals?

Don't use music to test whether your individual drivers are working properly, instead use commonly available test tones such as pink noise or low to high frequency sweeps.  It will allow you to more accurately pinpoint your results.