Most of them will be very smart about it and hide their wealth in anonymous cryptocoins. We know one of the most effective in hiding your privacy is Monero. What are the other anonymous coins can you recommend?
not at all. regulations won't make people hide their assets. almost everything else in the word has some sort of regulation and people don't hide it. like gold for example the regulation only makes its market more secure and less prune to manipulations and scams like Mt gox.
you can also see what regulations did for bitcoin in Japan. nobody in Japan switched to Monero or others because government regulated bitcoin there. instead they adopted bitcoin more than ever before.
p.s. the ICOs and other types of scams go to anon coins to hide their scammy actions is a different story though.