Dear Mr. Brennan,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the Logbooks of U.S. Navy Ships and Stations, 1941 - 1983 in the Records of the Bureau of Naval Personnel (Record Group 24) that include the deck logs of the USS Midway (CVA-41) for 1965. This deck logs have been digitized and may be viewed online using the Catalog. Please note that the Catalog does not always list logs in chronological order. When viewing logs for each month, you may wish to click on the red PDF icon under the “Documents” heading. This will allow you to view the entire month’s logs as a single file. Once you have done so, you may use the blue download button to download the PDF. Due to the size of the files involved, it may take a little while for them to load in full. Please be patient. If you have any problems accessing these files, please email Catalog@nara.gov.
We hope this information is helpful. Best of luck with your research!