You Are Peter, and on This Rock I Will Build My Church, and the Gates of Hell Shall Not Prevail Against It.

The fig tree narrative is a kind of an acted parable about the coming destruction and condemnation of the temple. So really what mathew is doing in this section is talking about jesus is identity. And then jesus uses that to talk about peter's identity. He's the rock on which the church will be built. To the scripture is multi layered and has multiple layers of meaning, so i don't exclude other readings.