I have been driving SOA for a very long time;
If done correctly and driven with care there is little downside (some increased nose dive under hard braking, some increased body roll in corners, both due to the higher CG).
That said this is not a mod for the street; (mall crawlers take note) the only valid reason to do this is for off road performance. It should probably not be considered until after the vehicle has been re-geared and selectable lockers are installed. Sway bar disconnects for use off road are highly recommended. Longer shocks are necessary as are modded shock mounts; or you will see little to no benefit from SOA.
The advent of the newer flexible springs from a few companies like RE really reduces the need for SOA off road and is the way to go for moderate+ wheeling, IMO.
SOA with flat springs will keep the CG manageable (around 5 to 5.5 inches of lift) but requires a torque arm to keep the springs alive.
SOA with high arched springs is a definite DON'T; there is no reason to consider it and the vehicle will almost certainly become unsafe to drive due to excessively high CG and the probably poor workmanship standards of people who would try it without thinking it through. (SOA is done for flexibility high arched springs are rarely flexible; so nothing is gained except excessive height).
With 33 inch tires you will hit the body and damage both sheet metal and tires when flexed out. Larger tires, of course, will do the same. (TJ rear flair mod recommended).
For tires above 33s the stock brakes need an upgrade (both for SOA and SUA).
...a well prepped, well driven, vehicle should do well in any terrain, including the highway.
Carburetors became obsolete during the last century... do what ever it takes to get fuel injection...It makes bigger grins off road.