Unfortunately, I don't think that's going to solve the problem. Not seen in the picture is that the middle portion of the sole is actually chunking apart like a dried, rotten, rubber tire. So alas, I believe these are destined for the scrap pile.
That's okay, I've been threatening to get a custom pair of boots made for about 6 or 7 years now and there are several good makers here in Chicago. If nothing else, I'll order a pair of White's.