Though associated with C.S. Lewis, the argument from desire is still alive and kicking. As I mentioned, I'm putting it to use in my upcoming book Hunting for Magic Eels.
My favorite contemporary example of the argument from desire comes from Francis Spufford's wonderful book Unapologetic: Why, Despite Everything, Christianity Can Still Make Surprising Emotional Sense. As you can tell from the title, Spufford's fierce, bracing, combative, and often profane defense of Christianity is rooted in the emotional appeal and coherence of Christianity. As Spufford writes at the end of Chapter 1, his book is "a defense of Christian emotions--of their intelligibility, of their grown-up dignity." It's a book I highly recommend.
Given the mental health struggles of the post-Christian West, it would appear that the argument from desire is coming into its own, as witnessed by books like Unapologetic. There's something emotionally ailing us in this secular age. Materialism is making us sick. Books like Unapologetic help us trace the contours of our pain.
As Blaise Pascal once wrote:
The heart has its reasons, which reason does not know. We feel it in a thousand things. It is the heart which experiences God, and not the reason. This, then, is faith: God felt by the heart, not by the reason.