I don't think any one knows the gravity and immense scope in planning for BIDDING for the games actually entails much less HOSTING the games.
Host cities are awarded 7 years ahead of the year of the games, The host city of the Games of the XXXII Olympiad (2016) was awarded to Rio in 2009 and next month we select the host city of the Games of the XXXIII Olympiad (2020) (Madrid, Tokyo and Istanbul are up and Tokyo and Istanbul are neck and neck, I haven't made my recommendations yet). The LAST time an Olympic games was moved from the city it awarded to was the XII Winter Olympic Games (1976) after Denver who was awarded the games in May of 1970 gave it back in November OF THE SAME YEAR and Innsbruck accepted it after MUCH hesitation. There was talks of canceling the games that left a very foul taste in the mouth of the IOC and today it would not make it to the floor of the IOC for discussion.
Keep in mind that Innsbruck has hosted the games before and even with that experience they had to really think about it. Asking a city that has hosted it in the past with just (let's be generous) 7 months notice is unthinkable. Please remember that the 7 years window is when the IOC awarded the city the games to the actual year of the games. These cities also had to make bids as well as funding the games, feasibility studies and a plan on where to put everything.
Also unless it is a major part of a city's infrastructure many venues for the Games are temporary and are demolished within a year of the games ending. My best example of this is Olympic Stadium for the Games of the XXVI Olympiad in Atlanta, it's now Turner field and 1/2 of it was demolished with in months of the Closing Ceremonies. The cauldron now sit in the parking lot of Turner Field.
So if the GLBT groups and George Takei want to foot to 30 BILLION dollars (Cost to date for Sochi minus corruption) to construct the venues in another city and RUSH the job in 6 months and comply with all the International Federations standards and safety compliance. Plan a torch relay, mine the gold silver and bronze for the medals, design a torch, put together an opening and closing ceremonies, build media centers, oh, and pay the media houses their rescheduling fee (It's built into their contracts). Schedule the events, get it cleared from the networks. Rework the NOC's Delegation, create new marketing for the games and, here's an important one folks, GET THE VOLUNTEERS WHO HAS BEEN SELECTED AND CLEARED FOR SOCHI CLEARED FOR THE OTHER CITY. If you can do that all in the next 6 months. Go for it, Also there are lists that needs to be cleared in the next 1,2,3,4, and 5 months too including Security and contingencies, the anti-doping center and Athlete Housing.
Also it was the USOC that didn't take action and it was the USOC that decided to change athletes in 1936. The IOC had talks to change the venue in 1934, but it was the USOC that stopped those discussion when it very publicly accepted an invitation to the games of Berlin. If you want to blame any one for 1936 blame Avery Brundage.
Also has any one found out if another city if even WILLING to take the games at this point?