It dawned on me that I remember now that Bridgeport jaws bolt on backwards from Kurt style vises. The jaws are tapped for 3/8" bolts iirc as opposed to counterbored holes in the Kurt style. I actually prefer soft jaws, both steel and aluminum, more versatile. You can machine them for specific tasks as Will mentioned and they save your cutters if getting too close to a jaw. Monster Jaws has blank jaws that you can drill and tap to fit and they are finished flat enough for most work. If you need hardened steel jaws I know of no one making them for your application. Having to tap threaded holes means hardening and grinding after tapping. You could also use O1 or A1 ground stock and use as is. It won't be hard but has a ground finish. Hardening will warp the material so then it would have to be ground again. Can you just have your existing jaws reground?
Darrell