Fansubs dying off completely is simply unfeasible.
Even if the people who upload the raws from Japanese TV get shut down, that will at best simply stop the subs that show up within a couple of days of the Japanese TV airings. Many groups work from Japanese DVDs, and that number would only increase if that became the main method of subbing. Now, I guess you could say in that case at least one person is paying the Japanese companies, rather than no one.
Fansubs are not completely evil. Many shows have been out for decades in Japan and never been licensed by any US company. I doubt very many people are going to be up in arms over fansubs of 70s and 80s mecha anime that has no legal alternative. Similarly, fansubs can sometimes help a show. I doubt Haruhi, for example, would have been nearly as big a success story if not for the huge fansub following.
And in some cases, there simply isn't a legal alternative for the show in the US. (See Digimon, Yu-Gi-Oh!, and numerous others)
At the same time, when a legal alternative exists, downloading fansubs of something that you could get on DVD is rather unethical. It's also harmful to the industry. And before anyone starts claiming that they don't care about the US industry, and only the Japanese one, remember that those US companies pay the Japanese companies to acquire shows. No US industry, or a weaker one, and we get a much weaker Japanese industry. It's also fairly common these days to have anime that's co-produced using money from US companies.
Given the current climate of both industries, we, as fans, should be attempting to support the industry in any way that we can. I'm not saying you have to buy a DVD of every show the day it comes out, but you should at least try to get it eventually. And continuing to host episodes that are legally available in the US is just wrong. I hope that Kaizoku-Fansubs stops hosting the first 13 episodes when the DVD set comes out in May.
At the same time, when dealing with long running series, I don't think there's a great harm to FUNimation being done by fans watching the latest episodes to air in Japan.
However, I think companies like FUNi and Viz should try and work with the Japanese companies to make their own subtitles versions of the latest episodes available online shortly after the airing. With the way New Media is going, it could be feasible in some term.
If that happens, then I believe fansubbers should completely cease for those series.
As it stands however, fansubbing is a giant gray area. There are some cases where it's the only method available (see: older shows, shows that never got uncut releases), and some cases where it's clearly at fault (hosting up episodes that are available on DVD).
It's not going to die anytime soon. New methods will arise, of course.
But I do hope that we can at least less 'unethical fansubbing'.