Do the Beatitudes apply to the church age?
No, the Beatitudes do not apply to the church age. According to the context, they are the Constitution of the coming Kingdom over which Christ will rule. They may serve as a good moral target, but they cannot be brought into church doctrine; they fit the Kingdom perfectly, like a square peg in a round hole otherwise.
Les explains that the Beatitudes are the very Constitution of the Kingdom over which Christ will rule. He says they don't fit the church age, though they are a good moral target. You can't bring them into church doctrine and make sense of it; they are like a square peg in a round hole. They fit perfectly in the Kingdom, and that's exactly where they belong. In that Kingdom, Christ will rule with righteousness and reprove with equity for the meek.