How would access to food and freedom from hunger, sickness, and homelessness cause war and climate change? We already have enough food; it's poorly distributed. Medicinal challenges aren't solved with substantially more energy; they're solved with more information. Housing: plenty of room on this planet, just not situated between your San Fran tech job and the mall.

War and climate change are not caused by full bellies and healthy spleens, as you claim.

Overpopulation is the last problem to solve, and reproduction trends downwards in affluent, well-educated countries. So, possibly even that is solved by these three benefits.