They are like children. Unfortunately, they are manipulating the legal process in an effort to score political points. Its the mark of desperation when a party tries to DQ the judge on the day of trial. They risk alienating the sole decision maker by accusing him of bias making it a fait accomplis (look it up, Starr). They know they're going to lose and and they're already looking to the next court under the guise of preserving issues for appeal which dovetails nicely in Kelso's scatter shot strategy, if you can call it that, of throwing issues at the wall to see if anything will stick. Moreover, Team Brannon has taken every opportunity to delay the litigation/Sisyphus. More below.

Question: Was Starr Kelso's attempt to disqualify Judge Charles Hosack a good strategy? Or a sign of desperation?

They are milking it for all its worth using the legal process to drip, drip, drip their complaints about their political enemies, a list growing longer every day. Team Brannon wants Kelso to make those arguments so they have blog fodder when time comes for them to start demonizing the judge like they've done to every other actor along the way who had the temerity to carefully explain to them the facts, the law, and any big words being used in the process.