Unlike the classic prisoners dilemma, this isn't a nash equilibrium. When I know that the other person pulls their switch, I'd improve my outcome by not pulling mine. Compare to the prisoners dilemma, where not snitching when the other side snitches earns you five years in prison.
And unlike the original trolley problem, pulling the lever will always kill more people. I'd wager most people wouldn't pull this lever because of this, but I agree there's no Nash equilibrium.