According to wikipedia JSON...
...is an open standard file format and data interchange format that uses human-readable text to store and transmit data objects consisting of attribute–value pairs and arrays (or other serializable values).
...it is structured text without features needed to accommodate behaviour the way complex logic should be.
Now, we want to make UI free of all this event handling...
Event handling it is about invoking behaviour on changes (in case of UI on user requested changes), freeing up the UI from event handling implies replacing the behaviour activation by events with something else. If the user's actions is the behaviour's activation leverage that would be developing a parallel to events behaviour activation leverage that should do what events do. To free up the UI from logic define what logic is and what behaviour activation leverage is and then move logic implementation around anywhere except in the behaviour activation leverage code.
Does it make sense to move validation and event handling logic in JSON (using json-logic-js maybe)...
It isn't possible, hence no.
...and get everything including model/view from the backend API?
It is that way if the application is a client server application where clients request and send information to the server. If it is about a mobile app installed on user(s)'(s) devices probably the logic it is already implemented on the server side and on the client side it is implemented to reduce client server communication, it just needs to be removed from the client side. I guess this question cannot get an accurate answer without including details about the purpose of the logic being implemented on the client side.