<<The Japanese had battleships at Midway>>
<<They lost the battleship Konga>>
You might want to read those links yourself.

That was the battleship KONGO, and it was not lost at Midway.
From your link:
<< The Kongô was finally sunk on 21 November 1944 by the submarine Sealion, SS-315, in the waters off Taiwan.>>
Midway was in 1942.
Yes, the Japanese had battleships at Midway..........but they didn't do anything. There was no surface-to-surface ship action. The opposing fleets never saw each other.
<<In 2000, they located the wreckage>>
Um, might want to read that link, also. That wreck is the KAGA, which was and aircraft carrier, not a battleship.
<<The US did not have battleships participating at Midway >>
Technically, no, our battleships did not sail with the carrier task force that battled the Japanese, but we did have several old battleships stationed between our carrier fleet and Pearl Harbor as backup in case the Japanese got by them.
The Japanese also lost one heavy cruiser at Midway, the MIKUMA. It collided with its sister ship the MOGAMI. Both had to reduce speed, and were found by our planes the next day and Mikuma was sunk.