I'm not so sure about that .wav file.. I think that the landing clearance by the tower may have been cut out of it. In general AF1 is treated the same as any other aircraft by ATC... though traffic isn't generally an issue
I can say this for certain, when AF1 was in NH early this year, they were treated the same as any other aircraft (at least by ATC).
The conversation between the pilot and the tower went -something- like this..
AF1: "Good afternoon, tower, (AF1) is with you on the ILS for 34"
Tower: "AF1, tower, good afternoon, check wheels down, winds estimated XXX at X, runway 34, cleared to land"
AF1: "Cleared to land, 34, with three green, for AF1"
The last line is pretty similiar to that .wav file, apart from the "three green" info.