I have been "testing" the DP2Q over the last few days, coming to the camera expecting a lot based on my experiences with its predecessor, the DP2M.
I really believe you need to test cameras yourself, as each users tolerances to particular faults is likely to be different. This seems particular evident with initial reports from users of the DP2Q.
It has been a bit of a roller coaster ride. It started favorably, then fell away a bit, but has come back strongly
City of London, from the "Shard". DP2Q, 1/500 sec, F/5.6, ISO100.

1. I quite like the odd form factor (looks like it was designed to appeal to mobile phone users), but the lens seems huge in comparison with the small front element. I would have thought they could make the lens at least an F/2, instead of the meagre F/2.8 without increasing the circumference of the lens . Still, the lens is as sharp as the old Merrill so nothing lowst there. Have to buy 58mm filters, though.
2. The SD card cover is a dodgy rubber push-on bodge. The rest of the camera seems well made and slick. Pity about the SD card door.
3. Menu system is simplified and better.
4. Batteries are larger and last longer. You still get two batteries in the box with the camera.
5. Sigma Photo Pro software is utter rubbish (in my opinion). Fortunately you can do most post processing in Photoshop. Turn down sharpening and NR and export as a 14 bit TIFF file, Adobe 1998 profile.
6. What matters is the image quality. Here, it is mainly good news. The colour balance is more neutral - no green hue, as there is with the DP2M. Pixel level accutance is as good as the Merrill, and the higher pixel count means a larger finished image. But it really gets interesting if you (a) turn down sharpness and noise reduction as much as possible and (b) save out a 16 bit TIFF, using the S-HI setting, which upscales the image to around 39mp. Then apply moderate sharpening in Photoshop. Because the Quattro image is "cleaner" than a Merrill image, what you get, if you are careful, is a near medium format quality image, a 40mp or thereabouts alternative to a bulky entry-level medium format camera. If the DP1Q is as good then things might get interesting for landscape photographers, particularly as I understand a cable release may be available. Of course, this is my assessment after just a week of shooting in good light, so your mileage may very well vary. Also out of camera jpegs are pretty decent, not that I intend to shoot jpeg much, preferring the masochistic experience of using SPP :-)
On the other hand, a shot from the Q will not have the same immediate "punch" as a DP2M image. I'd say in this respect alone, it has 30-40% of the punch. A tad "bayeristic", one might say, but still little or no Moire and more accurate colour. Loads of sharpness too, of course.
I have now added a 58mm UV filter and a 58mm adapter for my Lee 75 filter adapter.
Here is a link to a jpeg of an image with plenty of detail taken today
https://dl.dropboxusercontent.com/u/9806585/London_From_Shard_2.jpg