Does the tradition of absurd drama try to prove that God is in the imagination of the human mind?
Let’s start with “tradition,” not a comfortable descriptor for Absurdism, which begins by examining non-logical, non-“traditional” connections. If the instinct of the human mind is to speculate on a “cause-and-effect” construction, which leads to an elaborate belief system that posits a “maker,” then Absurdism seeks to do the other thing the mind can do: postulate a universe of randomness and non-connectedness. Waiting for Godot, a beautiful example of this other activity of the mind, dramatizes (embodies in space and actors) the dilemma of the mind that encounters this meaninglessness. Beckett said “If I knew what Godot was I’d have said so.” Much has been made of the word “Godot” but it is definitely not a hidden name for God. “Imagination” is also a difficult concept for Absurdists, since, far from trying to construct a world from the imagination, the Absurdist is trying to react to our tendency to imagine Order where none exists! So the direct answer to your question is “No.”