In Canada (though the US is similar), you can file a petition under the mental health act, and have a court order a psychiatric evaluation. This means cops come to the person's house, and (forcefully if he/she refuses) escort them to a hospital of your choosing. The person doesn't get to do anything but act as seized property for almost a month before they get their first date in front a judge. This is how the legal system is meant to work.

In tax cases (according to Meads vs. Meads), the defendant is considered a tax evader if they argue before payment is made. You must first honor the contract before you're allowed to make the plaintiff prove you owed money in the first place. If they can't prove you actually owed, you get the money back. Not only is this how the legal system is supposed to work, but it's based on UNCITRAL (international trade law) conventions, meaning it's how this works in every jurisdiction (including sharia law jurisdictions).

Both sides eventually get to make an argument, but the arbitrator expects the defendant's performance (to restore the honor of the parties) before any arguments are made.

Judge Judy and The People's Court are valid ex acquo et bono courts, but one shouldn't take their conduct as the only way court proceeds.