OK, at the risk of beating a dead horse, I forgot to explain White's objective in your game. If the white king can make it to the a1 square, he has a guaranteed draw, and it doesn't matter in the least whose move it is in the position or where the black a-pawn or black king is located. Once at the a1 square, the white king will just shuffle to a2, a1, a2, a1, etc. (Remember, this only works for rook pawns.) Also, even the addition of a "wrong-colored" bishop doesn't help Black. Hope that makes it a little clearer.