Is there any way to run multiple vim windows from one vim process, with them sharing the same internal clipboard?

To me, the window manager handling the window arrangement feels like The Right Thing, but vim handling the clipboard also feels right (because it interacts with many commands). So I'd like some hybrid of the two options of: 1) running multiple WM-managed vim instances; vs. 2) running one vim with vim-internal window management. I basically agree with the goal of running vim with dwm window management, but it seems wrong to have to reimplement dwm inside of vim, instead of using dwm itself to manage vim windows.