This will ramble a bit so I warn you ahead of time but as a PhD candidate you should be no stranger to reading long rambling papers without a clear conclusion

1. Stanford MSx is a very exclusive program designed specifically for more mature and seasoned and accomplished candidates. The reason it is one year is that most people at this stage in their lives don't have the 2 years to take off but they can pull off 10 months.
2. It was known as the Sloan program and I am a bit biased as I got a tour of the campus and a bit of inside scoop by one of the alums - he was the nicest guy, a friend of a friend, and made a lasting impression on me. He was very proud of the program and was involved in the alum network, and in promoting the program. He was a Palo Alto VC guy who apparently also made a lasting impression on one of the members who was choosing MSx vs. Insead a years ago
https://gmatclub.com/forum/insead-vs-st ... 45636.html - you may want to reach out
karroty or other students/alums to get an idea of what's behind the curtain.
3. Your only and best chance at VC is Stanford. That door won't open at Fuqua
4. Your demographics/age/position in life is probably more aligned with the Stanford program and you would fit better with other students as well as with their career plans and recruiting as well. As none of you will be looking for a jr. associate position. Moreover, MSx is the old program for tired VC's who wanted to take a year break and get more theoretical so the contacts and networking that the program will offer (just by interacting with fellow "students" will be far beyond what you will find at Fuqua FT that has a different focus and purpose)
5. I suspect you will have a bit of a harder time recruiting for Internships and FT positions with your experience and may be considered over-qualified. Though at the same time, recruiters may love you since you will stand out. Hard to tell but there are certain positions they all try to fill with on-campus recruiting.
6. Being in Palo Alto makes a world of difference for VC recruiting as a lot of it is networking
7. While you are changing industries and trying to break into business, I feel doing a 2-year program with an internship is still not the best thing (I would have recommended it to a younger applicant without much experience). My main reasons for not recommending it to you is that you won't score a VC internship without prior VC experience and the consulting/other opportunities you will run into at Fuqua will be targetted towards less experienced folks with many of your managers being younger and less qualified than you, thus not really know how to handle the situation.
I would recommend connecting with some of the MSx students and get a sense what they would feel your situation will be next year. How will it feel to recruit without an internship and change industries?