You would actually get at-par to somewhat better image quality using this lens on your cropped sensor, than using a lens designed for crop sensors, in some aspects:

• You would get rid of most of the vignette, as the DX cropped sensor is effectively stopped down 1.23 stops compared to full-frame. (ref. Wikipedia). Thus, from the review link you provided, the vignetting would go from greater than 3eV with the lens fully open on full-frame, to around 1.85eV worst case fully open on your D7000.
• The effective barrel distortion would actually reduce, not increase or be more visible: Try covering the edges of the distortion image from the same review, leaving an effective 1.52x cropped area open, and you will see this in effect.

On the flip side:

• The lens will no longer be a 14mm ultrawide, on the DX sensor it becomes a more pedestrian somewhat-wide, more or less 21.3mm. You might do better getting a 14 or even 16mm wide designed for the DX frame. That would be cheaper as well as sharper: see next point.
• Again quoting that Wikipedia page, "...to maintain the same absolute amount of information in an image ... the lens for a smaller sensor requires a greater resolving power": In other words, finer details would not be as finely defined on the DX sensor, as on the sensors it was designed for.

That last merits explanation: All lens designers are forced to make some design compromises when targeting a given sensor size, and since full-frames have a greater image gathering area, they allow greater leeway in resolving power required of the optics. Smaller sensors require optics of greater "clarity", to oversimplify a bit.

I hope this helped.