Okay since thats your goal...
It would be easier to adapt the Mustang rear to the Charger leaf springs than to try to adapt the Mustang suspension to the Charger body....unless you've got some decent fabrication experience you haven't admitted to yet??
What is the wheel mountng surface-to-wheel mounting surface (total width) of the Mustang axle?
The original Charger axle is listed as 60-1/8"
Online look-up shows '98 Mustang at 58-1/2"
if that matches the width you've got, then it is 3/4" per side narrow then the factory Charger was....so you need to take note that may affect clearance to the outer body wheel lip or to something on the inner side of the tire.
It helps to have your wheel choice decided to, so you can see if it is going to fit.
At the bare minimum you can use a 4-1/2" electric andle grinder with a handful of slitting cut-off wheels and a couple general hard grinding disks will get you through the job of cutting off all the Mustang suspension mounts, shock mounts, and spring pad brackets off the axle tubes of the Mustang rear ....and then weld a pair of Chrysler leaf spring pads on (proper location, spacing, test fit, pinion angle, etc first) the cleaned up axle tubes and you're done.
New axle U-bolts, and new set of either standard spring retainer pads or some type of traction bar set up(I'd recommentd Cal-Tracs or Smith Racecraft Asassin Bars).
Get new leaf springs if you need them, new spring hardware, bushing, etc.
Bolt it all together, and measure it up for brake line flex hose and shock absorber length, and figure out how you are going to attach the driveshaft.
You'll need to know what transmission your going to connect to in order to figure the driveshaft out fully.