I get where he's coming from, but love is too freighted to really get traction. If you see love as meaning to be invested in the happiness and actualization of others, it's more practical on a lot of levels.
The contempt issue begins at the roots of identity, I think. When we're adolescents, we're a part of the world or society, but without the responsibility or authority of an adult. This makes us subject to it and a bit helpless (but for the benevolence of adults) until we find a way to become adults ourselves. Until then, we often assert ourselves though revolt and rebellion as victims of the forces we are subject to. Our adolescent mind exists as an island protected by its own defensive resentment and contempt against the forces it is only subject to, until it acquires the responsibility and resultant confidence to act directly on the world. We all emerge from it differently, if at all.
I'm saying the contempt is an adolscent urge that originates from believing we are a subject or victim of our circumstances. There are many situations where you really are a target, but I'd say there is no contempt without identifying first as a victim, and that necessary identity is a remnant of adolescence. The way to mitigate those adolescent remnants is by taking responsibility and ownership of your life, which coincidentally, happens to be a value at the core of conservative ethos Brooks advocates.
Treating people as undeveloped adolescents because they use disgust and contempt as an organizing social signal could seem to merely respond to contempt with sincere, even heartfelt condescention (the most insulting kind), and that would be all the more alienating and enraging, but it's toward discovering what the fundamental divide in the very axioms that inform our values is. When Brooks says we need "love," I think what he means is we need to feel loved, and by this, that there is some force in the world (or universe) that is invested in our growth and happiness, and believing we can both recieve and achieve it.