There is absolutely no merit in hoping liverpool fail to get CL qualification, because of your belief it would get the manager out. The same thing happened at the end of the Houllier reign. Houllier of course was off, even though he scraped 4th, and previously when missing 4th, stayed. You simply can't know what the consequences for not getting 4th are, except for the fact that it is a big issue in terms of attracting talent, and a big issue in terms of our financial state. If you want to apply what ifs to getting 4th, I'd suggest you look a little deeper than losing the manager. There are some pretty dire hypotheticals there.
Man U are going to pass Liverpool by in terms of titles. That's just exceedingly likely.