Hello martin,
If I understand you correctly, you say the fuse in the +12v to the battery is melting. I assume you actually mean the fuse holder.
As this only connects between the battery and the charger, then something is very wrong.
The fuse should protect the wiring in the event of a fault causing a high current to pass by breaking the current's path. If sufficient current is passing to soften and melt plastic parts, then either the wiring is under size, or the wrong fuse has been installed that allows too much current to pass.
Or the connections between the wire and the fuse holder are not made properly causing a high resistance joint that heats up under normal current flows.
All these points would be easily spotted by a competent electrician, and I recommend that you do seek the services of such a person.
As your own post has pointed out, even a 12V circuit can have enough energy to cause plastics to melt, so it is important that the cause is identified, the solution implemented in a competent manner.