X11 setup: two display configuration?

[Ludwig Meyerhoff <ludwig@salviamo-il-consolato.de>]

Hallo!

In the last years, I got used to have two X11 displays (:0.0 and :0.1) 
running on my laptops, each with its own window manager instance.

Now, I got a new notebook and do not get my usual environment 
configured: I do not want to have one window manager use both displays, 
I do not want to move one window from one monitor to the other. I do not 
care about this feature.

All I want is to have two window managers running, one for each monitor. 
The mouse "jailed" in the currently active monitor.


I did not find any reasonable or suitable information in the last months 
or research and try+error.

Is this still possible nowadays?


Saluti!

Ludwig