Yeah, oversold to me, sorry. Just to start with: "definitely" and "subtly done" are at odds with each other. You can't be both. Klaatu is "definitely" a Jesus analog. The Emperor... meh. It's strained, precisely because GW never really went there: fine, he's Jesus, but then what represents the Gospels? The Old Testamanet? The Emperor is only "Jesus" insofar as that's how "Jesus" looks to a 20th century disaffected nerdy atheist. Well... OK I guess?
Also... the 19th century British Empire is... kinda not at all viewed as a theocratic totalitarian autocracy consumed by cult-like worship of a dead god. Like, at all? It was a bourgeois, wealth-focused and extremely secular colonizer power driven by very worldly desires and a vaguely racist idea of How Things Should Be. And there's a lot of valuable source material for fiction there![1] And... GW didn't really do any of it, and almost none of that until much later.
[1] c.f. like 80% of Cyberpunk