Catplaystation and ChristianJ bring up an interesting debate.
On a very persona note, my plane has push rods and cables for controls and at the GA level I certainly would have some concerns if they became FBW and FBC (Fly by computer.)
It is easy to see how the FBW thing became the norm, and then the FBC thing crept in and it too became the norm and the stats seem to show that it is as safe as any other system, after all we hear often enough of physical control systems being jambed, either by mis installation or foreign objects or by minor structural damage that would not in itself bring an aircraft down. That said it still seems, at least to us very old SLF, that there is something inherently unsettling about flying without some direct connection between the controls and the control surfaces.
The assertion that it would not be possible to have physical connection in modern aircraft seems unwise. After all your car has power steering but there is still a physical connection. (And if FBW and FBC are so damned good why doesn't your car have it for steering?) If it was mandated then the engineering does not seem so difficult. The trade off would be the risk of physical jambing and in a long and possibly complicated system that might be as high as the risk of multiple electrical or computer failure.
I love flying in anything, even long tedious trips as SLF (As long as I get the window seat,) but sometimes, if I think about it just before boarding, I do get a frisson of worry about the controls having such a very tenuous connection to the bits that actually make it go where it should!
Let's just not even talk about "Plastic."