How far do you have to move the car? That wiring is obviously wasted. I personally wouldn't drive it like that since you can't see what's damaged on the dash side. YES, there is damage on the dash side.
Here's the thing - even if you fix the one broken wire to move it, any other problem areas will quickly reveal themselves and you'll likely cook another fuse link in short order. That kind of damage doesn't just happen randomly but over time. Maladies pile up and you get fuse link fricassee.
Looking at that wire in the pic I can almost guarantee the contacts on the back of the ammeter are burned. All the current in the entire car goes through that gauge (starting at that damaged wire) so if there is extra resistance anywhere in the circuit (as there is in your pic,) it will melt stuff.
My point being is if that is in fact the original equipment wiring, do yourself a favor and re-wire the car. Don't do a half-assed job and only repair the damage you see. That stuff was not made to be in service for 60 years. Once it starts breaking down like it has already you will have bigger and bigger problems until you replace it. The insulation gets brittle causing it to crack then you start getting corrosion and shorts and then... well, you can probably guess. Chrysler bulkhead connectors suck and have always been the source of much misery. Time for new stuff.
People will say hogwash, just fix the broken wire but IMO it would be a mistake if you leave the rest of the original wiring in place since that's probably what caused the problem to begin with. A fusible link is like the canary in the coal mine - it's a warning that you got bigger problems. I rewire all old cars front to back whether the wiring looks OK on the outside or not because as you've learned, it's not.
Re-wire the car and have peace of mind for the next 40 years. It's not that hard of a job if you're not changing anything or updating to a modern fuse box. Do it.
