LSU fan is mad because they believe Saban @ Alabama is what they could/should have. For all of LSU's history, success, tradition, etc., etc. they're still not Alabama.
Miles has 1 National Championship (and played for another) and 2 Conference Championships playing in the toughest division in the toughest conference in all of CFB. 110-32 at LSU thus far and 60-27 in the SEC. He's having back to back tough season mainly because (no matter who they recruit) they can't find a QB worth a damn.
Fire Les Miles and who do you get that's substantially better? And it's not like LSU hasn't been a total clustertouch before. I don't see the "huge name" waiting in the wings to take over. You go with an up and comer there and he's just as likely to be eaten alive by the job and no guarantee of even approaching what Miles has done.