Huh, ok, it wasn't that bad with the (new?) client side Javascript library they have.
So you use the tweet bbcode with the ID of a tweet, and some code will run after the page is displayed to turn them into tweets.
The only thing that doesn't work well is if you post a tweet with the quick reply, it doesn't show up right away, only after the page is refreshed. But everyone else will see it right away.
https://twitter.com/user/status/952218108948811776