Looking at how your LEMP stack can support Nostr first, Nginx is exceptional at reverse proxying WebSockets. You can place it in front of a relay like Nostream to terminate SSL, enforce strict rate limiting, filter out malicious IP ranges, and absorb connection spikes before they ever reach your Node or Redis containers. Nginx is also perfect for serving static web clients directly from your own domain. With PHP in the mix, it is trivial to dynamically serve a .well-known/nostr.json file for your own NIP-05 identifiers, or you could use PHP and MySQL to build a custom Blossom server to host your media attachments and handle file hosting for your Nostr profile.
Flipping it around to how Nostr can enhance a standard web stack, the integration options are quite practical. If you run a traditional PHP application or blog on this server, you can pull in Nostr events to replace a standard database-heavy comment section, allowing visitors to reply using their existing Nostr identities. You can implement NIP-98 HTTP authentication, which lets you log into your own admin dashboards using your Nostr signer extension instead of managing passwords. You can also write a lightweight PHP script that monitors your server health, like checking MySQL uptime or Nginx error rates, and securely pushes those alerts as encrypted direct messages straight to your Nostr client, completely bypassing the need for email notifications.