> Platonism and Christianity are brother and sister

While certainly many Christian philosophers cite Platonism, I think you're missing the point. Buddhism encourages a detached style of living life. In practice, in its traditional form, I don't think it suggests ignoring relationships and turning inwards. However, in the practice of America's aristocracy, it takes on these tones.

However, Christianity, especially Catholic Christianity, is explicitly in favor of attachment to people. It's not like Buddhism in that sense, and especially not the pop 'Buddhism' practiced in cities by young Americans today.