Do people in those countries know of "bookmarks" ?
Methinks the ones pushing for this change do not actually use browsers; otherwise they would realize the only address people have to type - once - is that of their favorite search engine.
They're just bitching about the last two letters of a URL; for all the other elements it's already possible to use non-roman alphabets. To gauge the level of success it's met with webmasters, just run a search on baidu.cn, the most widely used Chinese search engine, for 中国 (=China) and see how many hits you get without a roman URL (hint: the number is between -0.5 and +0.5).
Unless those governments make it mandatory, I don't see many sites will be appearing under those domains; apart from malicious ones that is: with all likelihood, the actual implementation will be through punycode, so that a "http://evilsite.ru" will become an instantly recognizable "http://xn--vilsit-2ofg.xn--p1ag".
Well, at least it will cause a surge in click on dodgy links... Just what the doctor ordered for the Internet.