In Bridge, select the DNG file and examine its File Info. From the menu at the top right, save the metadata template. Then apply this metadata to the NEF file. This copies IPTC data, and creates an XMP file for the NEF. But Apply/Replace Metadata doesn't include your raw adjustments, so....
Select both images in Bridge, launch Camera Raw, select both and Synchronize. It's pretty manual but easy enough.
ps I think it may be possible by hacking the metadata templates and the NEF file's XMP. Open the metadata template in a text editor, copy the crs section and paste it into the NEF file's XMP. However - a big however - when I tested this with Bridge 1.0.3 in Windows, Bridge correctly showed the NEF with the DNG file's raw settings (I'd knocked down the Saturation) but displayed an error message that seems to cycle through all the XMP file's properties until I stopped the Bridge process.