My sus. expertise:
You're sort of right in theory.
Higher CG=more swaybar involvement.
This is a correlation, not a causation.
Most people in this thread said something to the effect of "its one piece of a puzzle" and that is totally correct.
Don't forget anti-roll and dive geometry, roll center and axis geometry incl. dynamic roll couple, drive-line torques, aero affects, damper harmonics, and that any compensated rate increase will significantly affect braking performances (for better or worse).
Mclaren and Tesla (and certainly others, merc?) use electronically controlled hydraulics to mimic swaybar purpose. Tesla increases damper stiffness in roll, Mclaren's system is connected like sways, and has more functionality, but we will all end up in a conversation about the merits of hardware vs software tuning shortly.
On a related note, Tesla's suspension has short arms and ridiculous anti-roll geometry, which makes it awful on anything but a perfect road... and this fact goes totally unnoticed by even professional journalists and probably everyone but me test driving it on a bumpy mountain road. (my whiteline watts + LIVE AXLE handles bumpy roads better imho)
To address OP directly: You may see a benefit in theory, but that won't be on a mustang or any passenger car, of which all have a very high CG.
(okay on an NA miata (which is very theory-oriented with doublewish, low travel, thin bars) some people have reported gains by removing just the rear, and its controversial.)
F1 cars actually don't have as low of CG as you might assume, and the lat. G force makes them need swaybars despite the rate increase for downforce.
I am designing a kit car with a CG as low as an F1 car relative to it's track width, and this plus the fact that it will only pull 1g, meant I could design the suspension from the outset not to need sways, which is what you'd have to do to get rid of them on a Mustang I think.
EDIT: I am capable of redesigning the sus. on my mustang however I'd like from scratch, but I went with trusted names and a setup that has been tried and tested. Unless your business is aftermarket parts testing and tuning, I'd trust what Vorshlag and BMR say works. Please try ordering some really stiff springs, disconnecting the swaybars and go to a track with a camera!