What is wrong with my system?

The challenge is that this are bright speakers with components that are not warm enough to offset the bright speakers. There is nothing inherently bad about a bright speaker.  It just needs the right equipment to balance it out.  Many elite speakers are on the bright side of the spectrum.  
You can do a few different things. You can add treatment.  An overdamped room will suck the brightness out of the system.  You can change speakers.  Vandersteen would do the job as an alternative or you can change equipment.  
My hunch is preamp and DAC would be the obvious first swaps.  A warmer preamp and a warmer DAC can do wonders.  
There is no silver bullet one component.  I would make a single change and then reevaluate.  
One other thing.  Power conditioning does matter and have no a decent power conditioner can smooth things out a bit.  I would also be curious what cables you are using.

Also, are the speaker cables coiled at all.  This can have a shocking impact if the cables aren’t shielded like Nordost.  
More you share, the more we can help.  

Nothing there to smooth things out. Perhaps some variation in component style. More warmth. 

Still no room pics and dimensions so just a timewasting guessing game.

Having gone from a solid state to tube preamp, I can say they will warm things up a bit, but if the problem is that your system is truly "bassless", I have my doubts it will solve all your problems.

I am going to go out on a limb here and suggest as a test that you reverse your speaker connections, on one end, for one speaker, and see if the bass magically comes alive. i.e. could one side be wired backwards, either internally or externally? Not trying to insult any intelligence(s), but if there is truly no bass on a set of speakers this size with these amps, it seems to me there is something systemically wrong. I have no experience with these speakers, and others say they are bright, but sounds like they are abnormally bright.

If that makes no difference, I saw an earlier question about the age of the amps, time to recap? Not sure that would cause the issue, but seems to me that the caps help provide the reserves to handle demand for bass. Not an expert here, but thought it worth commenting. 

Hope you figure it out, lot of nice gear.

Make sure you listen on midrange axis where these speakers seem to be designed for. Not on the tweeter axis.

Next, the room.  These speakers in an untreated room are goint to put out far too much upper treble energy.