I will admit not knowing much about bass equalization. All I know is that independent subs for home theater has this phase adjustment that does not work well at all. I can definitely hear where the bass comes from, despite the common claimed for non-directional effect. With just a brief look at Audiokinesis, I don't know the details. Can these 4 subs be integrated into any full size speakers? Or is this the case that you have to buy their main speakers as well?
I hear you, Spatine. Setting up subs right can be tricky and I think most folks don't have the patience for it. The tendency is to set them up in whatever is the most convenient spot in the room, with the settings juiced so they are always audible and thus justify the purchase. I've found the better integration comes in setting up where you don't even notice them, but you are aware of their presence in those really deep moments of the music - that's exactly what they are for after all. Duke does sell his satellites separately (I think he calls them "The Swarm" when sold that way). I've only heard them with Duke's speakers so I could not comment as to how well or how easily they integrate with other speakers, but the principal he's based the design is very compelling and it sure sounded wonderful in the room at The Show that I heard them in. You can contact him through his website. He is a member of this forum as well. The other way to go would be with two conventional subs like JL Fathoms or Gothams (excellent subs), but you would have to have the patience to set them up properly or hire a local dealer or installer, or alternatively find a knowledgeable friend who might help you. If your subs are making themselves apparent in the way you describe then they likely are not set up right. If you want to skip the 'hassle' of setting up a sub, and prefer to just get something that is integrated into the mains, I think you can certainly find something that will make you happy among suggestions here, as well as other offerings out there. I would just reiterate that those solutions are not the best and most natural sounding in my own experience, when it comes to low bass and integrating a full range in a listening room. If your budget is $15K and you are looking at all-in-one full range speakers that do bass very well, my favorites have been Hansen's Prince which you just might find used for a bit above that price if you're very lucky. TAD Pioneer's Ref 1 was also outstanding in integrating a full range, as is Daedelus Ulysses speaker. None of these uses an integrated sub, but all have a very natural integration of their low-end. I've heard Wilson speakers on a number of occasions and they've never grabbed me as something I'd want to drop that kind of money on. Avalon's floorstanders also do a wonderful job of integrating the full range, and you may be able to find their excellent Indras in your price range used. Again, do check out Duke's Planetarium offerings and write to him for his own take on bass, subs, etc. He really does a great job and at fairly reasonable costs which I believe fall into your budget (I think the Planetarium Beta with his larger full-range speakers is around $10K). Duke's a great fellow too.
Good luck!