I haven't needed to disconnect the anti-sway bars in years... I rarely travel extreme terrain any more.
Back in the stone ages (20th century) I sometimes removed the front anti-sway bar entirely from the vehicle until I learned better.
once I learned how to properly gear the axles; while finding (and installing) lockers (long after learning the correct techniques of off road driving) and started using decent, medium traction, MUD tires, or for more serious terrain Boggers) the need to disconnect the anti-sway bar dropped to near zero.
After I started optimizing the street air pressure in the tires (for near optimum tire life(chalk test)) I really only needed to drop the tire pressure for the more difficult/extreme trails or off road snow wheeling.
Eventually I got tired of switching between the much higher traction of dedicated off road tires (Boggers) and the medium traction (longer lasting) BFG mud tires so I went to BFG mud terrains and sold the Boggers (I miss the traction sometimes but not enough to buy another set and change them out whenever I go off road on serious terrain... aired down Boggers are much harder on axle parts).
I will say that the pathetic travel of the OEM independent front (and rear) suspension 4wd vehicles does increase the incentive to air down and disconnect anti-sway bars (especially when trying to use all terrain tires off road, this is only partially mediated by the electronic traction controls available today (IMO).
Enjoy!
Edit; a couple of comment on antis-way bars stability and custom suspensions;
I now increase the anti-sway bar diameter on dual purpose street and off road vehicles (though I still rarely, if ever, disconnect them) on road handling is more important to me than lifting a single tire off the ground with the air lockers engaged.
...for truly extreme terrain I would recommend building a rock buggy with a link suspension (either independent suspension or solid axle but definitely with cutting brakes and rear steering (portal axles are also highly recommended for the world class extreme). It likely wont be licence-able or insure-able so on road handling probably won't be much of a concern.
I have only ever encountered Death Wobble on poorly engineered/modified/set up vehicles or vehicles with worn suspension parts... improper caster with lifted suspensions has regularly been found to be a contributor.
Enjoy!