Since I am not privy to any inside sources on Gardner's role, I'll just assume for the purposes of this post that her influence has increased and Drayton is making decisions based on both her input and public opinion.
If this is so, it can only be temporary, because at the heart of fan bitching is wins and losses. Drayton may lose sight of this and be presently making decisions on fan input, but in a couple of years, if the losses are piling up, he will either replay yesterday's actions or step back and realize that his core concern is wins, and that the best way to get wins is to let baseball decisions be made by baseball people. In short, Drayton might be temporarily insane, but ultimately, he is a businessman, and he will realize that less Drayton and Gardner means more wins and more money for Drayton. I don't think the franchise is at the edge of long-term demise.