Raise awareness, spread the word about Tor. If they start running attacks against Tor, start an uproar. And pitch Tor as an elementary security measure; say "do this to make your communications more secure." It isn't perfect, but maybe it's better than nothing?
Kazakhstan already blocks Tor website and its bootstrap nodes. Also I heard that it has DPI hardware and made an attempts to block Tor traffic (but last time Tor worked for me with my private bridge). No uproars here :) Most citizens are not educated to understand what Tor is and will trust government, who'll tell them that Tor is for criminals and must be forbidden.
I suspect Kazakhstan doenst have the resources to mount attacks against tor unless they can pay some western company to do it for them.
Blocking it is a somewhat different matter.