Copyright: destroyermen series (copyright)
The Destroyermen Series is a series of science fiction books written by Taylor Anderson.
The series in a nutshell is, WW2 Destroyer USS Walker (a fictional setting and crew for a real vessel) are fighting Japanese Battleship Amagi when a squall sends them to an alternate dimension of Earth where Humans are (thought to be) next to nonexistent. Instead they battle anthropomorphic dinosaur-like people while they form a military alliance with a nomadic species of primate/cat people.