Your argument sounds much like the argument Col. Terry Lakin used as he claimed the Commander in Cheif had no valid basis to claim he was a Natural Born Citizen, and therefore was not a legitimate president.
We all know how well (not) that worked out for him. Much the same way any similar claims to get out of jury duty will work for you.
Face it. We are constrained by liars and fools pretending to govern us. Just have to deal with it.
This is not for getting out of Jury duty. This what I would do if I were fortunate enough to land on a Federal jury.
A silly comparison.
A prospective Juror need not challenge the judge or the court, nor can he be forced to. He just is obligated to vote his conscience after he has heard all the evidence.