A polygraph and a psych exam MIGHT be helpful ... but, they might not. And, they might not even be allowed in if the prosecutor objects.
However, perhaps he can offer to do a polygraph with the state's chosen examiner ... they might like that - but not one of his choosing.
What is it you think the defense attorney should be doing? Looking busy does not mean being productive. I can LOOK busy without getting anything done at all.
If he does not like the way the attorney is handling the case, he can always raise the funds and hire his own attorney. Sadly, there are few options when you are of little means. And, the reality is that there is not often a lot that CAN be done before a trial of this nature - it really depends on the case and the type of defense to be made. Character is not so much an issue for the previously stated reasons - I can cite first hand accounts of otherwise stellar and upstanding citizens who were righteously convicted of rape and child molestation and everyone "KNEW" they were not capable of the acts they were accused of. So, character is hard to raise unless the prosecution makes it an issue somehow in their case.
All he can do is keep on his attorney for information on what she might be doing for his defense, and ask what he can do to help.
- Carl