Does that piece in your second or third pic mount to the wheel or the column? If it's on the column, there wouldn't be any wires to twist. It looks like that might be the way the original was set up, as there's a wire heading down thru that piece (I'm assuming into the column). But it looks like that part you marked "Horn button" is actually a contact that runs on a slip ring instead of a switch. If that's the case, a microswitch there wouldn't work, unless there was some sort of a cage going thru the steering wheel that the horn button depressed to push the microswitch.
If you can find all the parts to put it like original that would be best.
