I think I've created the necessary things needed to do this.
1. text needs to be set as background text.
2. you need to create an action part "wait until x character stops talking"
3. you will need an overlay interface to prevent the player from being able to click on anything. I have actually written a tutorial for that which you can find
here, but unfortunately it seems I've not provided any resource files or finished typing up the tutorial, but should be able to figure it out from the screenshots anyway.
4. I wrote a script a couple years back which lets you kill background texts, which you can find
here.
I think you should be able to sort out what you are wanting with this information. I want to do the same thing with the game I'm working on too as I don't like the cursor being hidden whenever text is shown or a cutscene is triggered.