This isn't "entirely" accurate. The Great Seal of the United States is what contains this symbol and nothing to do with the dollar bill. Other than the current dollar bill displays the Great Seal of the United States.
The original dollar bill was not printed until 1862 and looked nothing like it does today. It wasn't until the 1920's that something similar to our current dollar was introduced.
The story of Hayim Soloman and the Star of David may be a tribute to when the Great Seal was designed but it wasn't because of the U.S. Dollar.