Is it just the look you are after? If so, you could electroplated copper onto the blade. Pretty easy to plate copper onto carbon steel at home.
Sounds like a good breeding ground for bacteria between the layers so a stupid idea.
I looked up a bunch of melting points, even the silver solder is going to give you grief at the flow temperatures.
Learned there's 50+ flavors of bronze, too.
The differences in MP's suggest that mashing one into the other might not work at all.
Bimetallic corrosion will play if you add an electrolyte. Like the sacrificial anode on a boat.
But, mechanical assembly might be the way to go with epoxy to fill any lingering voids.
I wonder how they set the tungsten carbide tips into stone-masons steel chisels?