Whelp........... We've lived here 14 years - and - countless cars (I have 6 now - and - work from home. Ha....) - and this is a first.
Take a look at the photo's. Not sure this will buff out. :)
What do you think? Just take my time - match them up - and solder/splice them? A new harness would be a huge PITA - I think.
Arrrrrggggghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh.................
Being so close to the connector might make splicing hard. Swing by the junkyard and see if you can cut sections out of a harness, might be easier than getting the whole thing.
Cut and splice the straight bits. See the GM store or Rockauto for a pigtail to replace the connector.
Buy a skinny cat.
Retired EE here. Normally I'd say do as you suggested, stripping back the wires, adding shrink sleeving, solder, and shrink. As noted however, much of the damage is too close to connectors. I think I'd try the "easy button" first and find out availability and cost of a used engine harness. If there's no time or money on-hand for that, a ghetto solution would be to solder the broken ones, separate them all so they're not touching, then put enough epoxy over them to both seal the damage, prevent vibration, and keep them from touching. I'm not proud, but neither is it my car...
When you fix this, you might consider wrapping wiring with rodent repellant tape. I think Toyota sells it.
In my time of sorrow I didn't really think of any of these - including the skinny cat. :)
Looking into everything suggested. Just getting a pigtail connector and/or junkyard cutout would help with the splicing - that's for sure. I was initially thinking I'd have to re-pin the whole connector with replacement wire.
Initial look shows entire harnesses on ebay for $195-$295 - but - not sure what level of PITA it would be to replace it all - along with getting an exact match (I know - I know - "every 2007 Grand Marquis and/or Crown Vic harness should work as they're all the same". But - are they?
You may have noticed some burn marks on the wires. I was hoping (ha ha ha ha) that I'd find some dead rodent (that fried itself) I could mount on a stick to warn others not to do this - BUT - instead I fear it was from my excessive cranking of the car (I'm not that bright - I kept trying to start it) with the exposed wires. Fingers crossed I didn't screw up more stuff from that.
OK - off to research and procure the stuff needed to remedy this.
Thank you (!!!!) for providing multiple options.
PS. I did find some uber expensive Honda branded "rodent tape" during my search for answers. https://www.collegehillshonda.com/product/4019-2317.html - Only posting as it's interesting they produce it.
In reply to M2Pilot :
Ha - we posted at the same time. Yeah - I found the Honda branded tape - and - it's likely cheaper than feeding a cat. I guess I'm hoping it won't happen again for another 14 years. LOL.
The critters must be getting worked up about something. A couple of days I was just routinely checking the oil on my 2023 Kona N. Opened the hood to find this.......in my case it was a squirrel making a nest out of the hood insulation.. Nothing else was touched. Glad I found out about when I did. 
We get squirrel damage around here a lot. And occasionally rabbit.
Seems like a car that would be in the U-Pull-It these days. Just hack out sections you need if the entire harness is too daunting. It's how I fixed a few of the bad connectors in my F150. Fortunately, these older cars aren't as fussy about splicing in new pigtails and doing a bit of soldering like the modern junk.
I agree. Hopefully, the U-Pull-It will let you take part of the harness if that is all you want.
As for the rodents, I found a tip here several years ago that seems to work: a drop or two of peppermint oil on a cotton ball, placed in two or three spots in the vehicle and replenished every few weeks. Apparently the peppermint smell confuses and/or repels mice and rats, which navigate using scent.
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