Dear Sidney Williams,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the Muster Rolls and Personnel Diaries of U.S. Navy Ships, Stations, and Other Naval Activities, 1/1/1949 - 12/31/1971 in the Records of the Bureau of Naval Personnel (Record Group 24) that include the muster rolls of the USS America (CVA-66) for 1 Jan - 30 November 1968. For access to and/or copies of these muster rolls, please contact the National Archives at College Park - Textual Reference (RDT2) via email at firstname.lastname@example.org. Please include Reel #4321 and Activity Code 0405-0066 in your email.
We hope this is helpful. Best of luck with your research!