Is there a way to reorder the position of the tables in the detail panel of the Master Detail Browser? You can change their order in the navigation panel on the left but that doesn't effect the detail panel like I would assume, even after hitting the refresh button.
Or is the only way to delete and re-add them?
Sorry, there is no way to do that. TBH, I didn't realize that you could rearrange the nodes in the left, but I see what you mean.
You've probably noticed this, but if you click the nodes on the left, the RHS will scroll to the corresponding grid. And if you put it in "Single grid mode", then you won't even notice the grid order.