They don't have a judgement of ownership in infowars they have a debt and the court is forcing Alex to sell all assets to cover the debt. Then the rest is written off and he gets a black mark on his credit report.
There are rules around this process for a reason. If you allowed someone who has a debt judgement to just take over a company what is it's true value. Alex could try to value infowars at a trillion. So they put it up for an auction to get the real value. That's the fairest way for all cases.
Besides others are in line as well.
And killing the infowars brand means little in the short/long run. The real brand is Alex's name. It's not like his audience will suddenly not follow him to a new show with a new name.