I looked all over the web and couldn't find much other than tiny blurbs about the occassional municipality who considered changing it but not much National other than Truman's decision in 1946. No mainline websites, just small personal sites, so who knows how credible they are.
Here is a pretty in-depth article, but it does mostly concern Rhode Island.
In what was perhaps an early effort to maintain annual observance of World War II, but to remove Japan as the target of its commemoration, President Harry S. Truman shortened the designation to “Victory Day” in 1946. Several states followed up in subsequent years with official declarations of Victory Day as a legal state holiday, including Rhode Island in 1948. However, over the next three decades, every state that had legally designated the holiday repealed it, Arkansas being the last state to abolish Victory Day in l975—except Rhode Island.
Again, this is someone's personal site, but he does have a pretty decent list of footnotes at the end of the article.
According to Wikipedia (meaning take with a grain of salt):
V-J Day is recognized as an official holiday only in the U.S. state of Rhode Island. The holiday's official name is "Victory Day",[11] and it is observed on the second Monday of August. There have been several attempts in the 1980s and 1990s to eliminate or rename the holiday on the grounds that it is discriminatory. While those all failed, the state legislature did pass a resolution in 1990 "stating that Victory Day is not a day to express satisfaction inruction and death caused by nuclear bombs at Hiroshima and Nagasaki."
Do you have a link to an article regarding this? I'd be interested in reading it.