I'm a little bit confused about how browsers handle JavaScript events.
Let's say I have two event handlers attached to buttons A and B. Both event handlers take exactly the same time to complete. If I click on button A first and button B next, is it true that the event handler for the button A is always executed first (because the event loop is a FIFO queue), but when they finish is completely unpredictable? If so, what actually determines this order?
Yes. The order of event handlers executed is guaranteed, and in practice they will not overlap.
This is the beauty of the event loop as a concurrency model. You don't have to think about threading issues like deadlocks, livelocks and race conditions most of the time (though not always).
Order of execution is simple and JavaScript in the browser is single threaded most of the time and in practice you do not have to worry about order of execution of things.
However the fact order of mouse events is guaranteed has hardly anything has to do with JavaScript. This is not a part of the JavaScript language but a part of something called the DOM API, the DOM (document object model) is how JavaScript interacts with your browser and the HTML you write.
Things called Host Objects are defined in the JavaScript specification as external objects JS in the browser works with, and their behavior in this case is specified in the DOM API.
Whether or not the order DOM events are registered is guaranteed is not a part of JavaScript but a part of that API. More specifically, it is defined right here. So to your question: Yes, order of event execution is certain except for control keys (like (control alt delete)) which can mess order of evaluation up.