I actually performed a similar migration last fall, and it followed your scenario just fine. NTFS permissions remained consistent, for instance.
I had to record Share permissions and re-apply them after the change, but yes, I just detached most of the drives on my file server and reattached them to my new Windows 2012 R2 server.
Also, our file server also acts as our main print server, so I used Print Management to export the printer configuration from the old server and just imported it to the new one.
Home folder mapping was fine. Of course, I named the new server identically to the old one, allocated it the same IP address, and made sure the shares were configured identically.
ETA: I didn't notice that you have DFS shares. You likely have to break them and re-build them once the drives have been migrated. Yes, that potentially is a problem.