It’s called voir dire, and it’s more complicated than that. For a case this size the counsels will likely have done focus groups to see what traits, etc. tend to test well against the client. So yes, they are theoretically screening for biases, but the selection is ultimately up to both councils, so it’s a balancing act of stacking the jury in your favor.
Can you enlighten us? From what I recall, the extent of that “controversy” was that Obama’s tan suit wasn’t solemn enough to wear to a conference about war.