How to disable this awful new "Real Time Display Post" feature?

From what I know, you definitely should. I do remember seeing some reports of people having problems with the top bar in this thread:

but it might be difficult to find (though the topic search is pretty good).
There is also a dedicated topic that looks related here:

I don't know if those were about the exact problem you're having. The truth is I haven't paid a lot of attention to that specific problem yet because it seems to be more in the website domain, in which I don't have any qualifications whatsoever.

It's not clear to me, have you made any modifications like shutting of JavaScript or disabling elements of the website before having this problem, or are you only doing that now to try to fix the problem?