Don't worry, we'll get there.
So what it looks like is that you are at a stalemate. In the cage, there will be squabbling for sure and that can go on for their whole life time and that's normal. Families have disagreements. It looks like they are going to need to "hash it out" and this will only happen in the cage.
When you put them in the cage, how long did you put them in for?
You can at this point continue to do the table intros eventually they will all relax but that can take months. Or you can put them in the cage once it's been the weekly scrub down and see how it goes. If it goes bad, you close up the middle, but leave it open for as long as you can. Boxing, sidling, huffing, puffing, nips, flipping, freezing are all normal and not a reason to separate. But if you see an out right attack, one rat lunges at the other and they become a ball of fur flying, then you separate and go back to table intros.
Oh, here's another idea. Once you scrub down the cage next, can you wheel the cage to the table so the rats can go in and out as they please?