Mashgiach Agent, you have lost your mind. All meat tables were coverecd with table cloths, just like your home.
All meat was served formally, by waiters, directly to the table, on real dishes.
Dairy tables were not covered and like just about every single kosher pizza joint in the world, there is counter service.
It is very clear which side is which.
You would have to be a complete idiot to think that with the mehitza up and your food on disposable plates that you could take it through the mehitza and eat it on a table fully set with real dishes. People who keep kosher are not stupid.
Even a very highly experienced senior mashgiach (which I seriously hop you are not- because I would boycott that hashgacha seeing your behaviour is not as you are truly yiras shamayim) would understand that there is no treifus going on. There is a huge amount of motzi shem ra going on from you. Frum Jews do not behave the way you are behaving.