The incentive to keep deforesting is to provide cheap beef meat mostly for western countries which can pay the most.
By reducing the amount of meat consumed in the west, there would be no reason to keep chopping down the forest, it's expensive.
In the west we would need a meat tax like it has been proposed in several countries, this alone we would reduce demand for beef and reduce the rate that the forest is getting chopped.
Only if it hurts on people's pockets will anything change, if it doesn't and it goes down for long enough, and the climate keep changing like it has it's going to end up as it as always ended when multiple groups of people are competing for resources: war.
