Don't underestimate the power of the computers. The human voters also would be hard pressed to not put Arkansas way up the polls if they keep winning. Not due to any rational reasoning but rather the human voters (especially the coaches poll) just move up the winners and drop the losers without thinking about who is the better team.
I could see Arkansas beating South Carolina, Oklahoma beating OK State, and LSU beating Alabama putting Arkansas at least 6th with Alabama 4th.
Arkansas goes on to beat LSU putting the BCS in the hands of the computers, and LSU probably wouldn't drop out of the top five making it an interesting final poll.
Would the computers put Arkansas on top of Alabama since Arkansas beat a #1 team? If South Carolina wins out, does that put South Carolina in the top 12 giving Arkansas the boost to being on top of Alabama? Or would Alabama get the boost since their only loss was to LSU and they had a win over Arkansas?
It'll most likely go to Alabama, but also don't forget that Alabama's strength of schedule is ranked 39th right now. Many are predicting Penn St to lost a few games over the next few weeks, so that will bring it down even more.
Should be interesting, and I must say, I would die laughing if Arkansas got in over Alabama. The squirming would be epic.