Coronavirus or no coronavirus, the reality is that shaking hands is inherently unsanitary. Not only that, it may not even be a Yiddishe minhag. It’s something the goyim do and not even all goyim, at that. Look at the way Gedolim and Chassidishe Rebbes greet each other – it’s with minimal hand contact. It may well be that even that is something that is rooted in goyishe culture. Can’t be certain about that, but it’s entirely possible.
If you start to think about all the things you do with your hands, and all the things you touch, you realize hands can be quite unclean. Then, if you start to think about those same things on other people’s hands…it’s unpleasant, to say the least. I began washing my hands as soon as I entered my house years ago, long before today’s troubles. It’s because I realized that the outside world is filthy and was the last thing I wanted to allow into my home. I hadn’t graduated to avoiding handshaking, as it was socially rude, but now, the rules have changed. It’s for the best, I think.