For the better part of two months now I have been shooting with both of these cameras. I like them both, but they have different strengths and weaknesses. So here is my basic comparison from the field, personal opinion, not formal controlled tests.
1. Great retro design. It has the appeal that us older photographers can love because it is designed like cameras of the past.
2. Hybrid viewfinder is fantastic. It offers the best of both worlds with EVF and OVF.
3. Image Quality is excellent at all ISO settings up through 6400.
4. Controls are well designed, and much improved over the Fujifilm X100.
5. I only have the 35mm f1.4 lens and the 18mm f2, and they are both superb. The other available lens is a 60mm macro.
6. With an adapter it can be used with other lenses. I have used the Voigtlander 15mm and 21 mm with fine results.
NEX 7 strengths:
1. Smaller than the XPro. I consider this a plus.
2. 24 megapixels gives fine resolution of detail.
3. The Peaking feature makes use of adapted lenses a joy, and focus is precise with this feature. It is one of my favorite features on this camera.
4. Available lenses are good quality and reasonably priced (with the exception of the Zeiss 24 on the price point!)
5. The tilt LCD is very handy for waist level and above the head shots. This is important to me for street shooting.
6. The controls are well arranged and GREATLY improved over previous NEX versions.
7. The NEX focuses faster than the XPro1, but it has a problem with purple fringing with wide angle adapted lenses.
8. The NEX 7 is an excellent video camera, though I use this very little. For some this will be decisive in its favor.
Taken with NEX 7 and adapted lens.