It not like we haven't made mistakes before...
70 punished in accidental B-52 flight - U.S. Security - MSNBC.com

America shouldn't exclusivly have nuclear weapons on the basis that we are the most responsible. Just like there could be a nut wanting to use nuclear weapons in another country, there could be a nut that wants to use them in the United States.

Now whether Taiwan should acquire nuclear weapons or not I would have to go with not. It isn't because we have a greater sense of responsiblity or the moral high ground. If Taiwan built a nuclear arsenal China could and would percieve it as a legitmate threat and use it as a cataylist to launch a strike on Taiwan. In general it would be a bad move by the Taiwanese government.