Bash: infinite sleep (infinite blocking)

Question

I use startx to start X which will evaluate my .xinitrc. In my .xinitrc I start my window manager using /usr/bin/mywm. No

Answer 1

What about sending a SIGSTOP to itself?

This should pause the process until SIGCONT is received. Which is in your case: never.

kill -STOP "$$";
# grace time for signal delivery
sleep 60;