Want to have it your way? You might have to go to Burger King for that, or someplace else that's not Lox Stock & Bagel. I made the mistake of trying to create my own bagel sandwich and was immediately told, "That's The Works," by the guy behind the counter as he wrote "Works" on the order sheet.
I looked at the menu and saw that The Works cost $10.50 and had several components I hadn't asked for, including a side order of potato salad or coleslaw. After much discussion, the guy finally agreed to make the sandwich to my specifications, including putting the two bagel halves on top of each other - crazy, right? - instead of being served open-faced. This consent was not given without a strong word of caution that "The Works" would be very difficult to eat as a closed sandwich.
Let me tell you, I have eaten many a large bagel sandwich, sub, torta, you name it, in my lifetime and I was quite confident I'd be able to manage this one. Indeed I was able to eat my modified Works sandwich closed-faced, thank you very much. It was actually pretty tasty, albeit salty, but what an ordeal. Burger King is definitely onto something...