If you go to Hipshot and look under Retrofit parts, you'll find Hipshot bridges which will retrofit your Fender.
http://store.hipshotproducts.com/cart.php?m=product_list&c=42
You can get specialized A and B type bridges that have screw holes that will fit the Fender layout.
And btw, the Hipshot bridges are top-notch stuff, I have them on all my Clement custom basses more or less, and a few others as well. I'm mainly using the A type bridge, but I have experience with the B type, too, and they are all excellent bass bridges.
Another favourite of mine is the Schaller Roller type bridges. It's not a direct replacement, though, so you will have to do some drilling there

But they are very adjustable and prevent string breakage big time