I do keep hearing Muschamp's name over and over, so I would assume they really are after him. I doubt they get him though, and every other name at this point is probably just guessing at best.
One of the guesses will likely turn out to be right, but if I had my guess the hiring announcement will come out of nowhere sometime later this week, and there will be very little mention of interviews, contacting, or anything of that nature. It'll just happen, and we won't hear much about the actual process other than internet conjecture.
In other words, if they were to hire Mullen, or even Nutt, we probably won't hear much about it in terms of contacts or interviews until the annoucement. Just my guess, but I expect it to happen quickly and with little warning.