Do the main beams actually light up when switched?
The wires would only really do this if they were carrying way too much current than they normally do when supplying the 60W (?) bulbs. 60W / 12V = 5A per bulb at 60W. For the wires to get that hot, they may be carrying 10x that amount. If there was a dead short (i.e. the wires went straight to ground), then they'd burn in a few seconds (but the fuse should really be blowing first), so it's worth tracing the wires to see where they go. Disconnect from the front lights and see if the wires still get warm. If they do, then there's probably an issue with the switch gear or fuse connections - which would probably have been disturbed during a renovation.
Sorry I can't help more than that.
Let us know if you find anything else worth noting when testing.
Justin.