I'm going to pretend to know exactly what would happen in that precise scenario but I'm confident most commercial pilots get enough training to be able to handle it.
You are defeating your own argument :-) Its exactly because every accident is an example of multiple things going wrong at the same time...that you need...multiple layers of control and safety to catch it through each hole of the cheese.
Like...another controller?
You need to recognize when something is out of the ordinary and treat it as an emergency (perhaps not a literal pan-pan/mayday emergency) sooner rather than later, and do things that may end up to have been unnecessary (like executing a go-around because emergency vehicles were on the move).
One controller on two frequencies is another example - that works fine in normal situations, but during an emergency response, perhaps the channels should be mixed; giving the pilots in the air a chance to hear the incorrect clearance onto their runway.
After all, an active runway is really more of an "air" control thing than a ground one.
“If we remove regulation and safety controls, things will be safer because everyone will be more careful.”
Because the parties involved would be more careful if there were no ATC?