Poor rise when the rich do? Nope, rich pay the poor as little as they can, keep as much of the profits as they can, try to minimize “costs” such as renting other humans (paying employees). Trickle down is a myth.

However, yes, we need both capitalism and socialism (I assume that’s what you mean by left and right). We need capitalism’s efficiency and socialisms protection from those who abuse the power granted by that efficiency.