Took us about two months.
Can be as short as a month, but don't go resale for speed. If you have a trip planned within say six months, plan on cash or buy direct from Disney. If its within six - nine months or so, you may not close in time have a lot of luxury in choice. We weren't pushing, but this is what happened:
We made an offer on a contract.
After three days of consideration, the seller decided not to sell.
We made an offer on another contract.
Took only 24 hours to get sellers ok and papers signed!
Paperwork went back and forth. We returned ours promptly, but the seller always took a few more days.
Disney took all 30 days to not exercise ROFR (apparently, they just let it expire).
The closing company was busy, took a while to get in for closing
The seller forgot to have a document notarized, it needed to be returned, resigned, notarized and sent back (this added a week).
We finally closed.
Took another three days to get into the Disney system to be able to make reservations (which we didn't need to do).