If it had been a criminal defamation case, then it would be criminally enforcable… but all this really means is “a judge ruled you need to pay” and if you don’t pay, then you could sue them again for not paying, and it just goes in a loop over and over again. I have a friend whose family has been in a loop like this in civil court over a bad real estate venture for decades with someone who simply ignores the rulings.
It hangs over the head of the person who did it, but in the end it’s mostly just a “it’s on your permanent record” kind of stain which can stop people from working with you and damage your personal life, but it’s not like the kind of people who would work with Alex Jones don’t know who they’re working with.