None of that says that church and state must be separate, just that there can be no religious test. There’s nothing in there barring him from saying “I think God blesses the people here”
In fact, to really be edgy, that also doesn’t prevent the government from say donating $10B each year to some Christian church.
To your second point, I never suggested that the Constitution says we should base our laws around the Bible.
My only point is the oft quoted Separation of church and state is only an idea from the Jefferson papers. If you want to make sure church and state remain separate, and the new speaker doesn’t start using federal funds for his church, perhaps it’s time to actually put separation into the Constitution?