Help Needed – We Are Looking for a WWII War Movie With a Pacific Setting

As I wrote before (here and here) I often receive e-mails from people who look for movies. Luckily I find many of them but not all of them. This week I received an e-mail from someone looking for an “obscure WWII Pacific movie”. While I couldn’t find which one it is, I have a feeling, someone else will as for some reason the description sounds familiar and I think it’s a known movie.

Here’s the mail

I haven’t been able to find a movie that sounds like this one on any list of WWII movies.  At the time (admittedly,  I was still pre-teen at the time) it seemed like a very striking movie to me.  I don’t know, perhaps I would think it was terrible now but I’d like to find out.
I saw it, I would say, between 1960-1964, in a movie theater.  I don’t believe I ever heard of it since.  I don’t remember the title.
It’s an American film, in color.  My memory of it is that it was an American destroyer versus a Japanese sub and they’re locked in a struggle to the death.  I think the destroyer gets torpedoed.  Then it rams the sub.  I think that the two vessels are locked together after the ramming and they may even end up beached on some island in the South Pacific.  That’s all I can recall but it seemed very gripping to me at the time.
*****

Does it ring a bell? Any idea? Couldn’t it be a John Wayne movie? It would be great if we would find it.

While hunting for the movie I found this website which looks interesting War of Our Fathers.