Pretty much this, except I think your timelines are a bit off. I'd be surprised if weren't venturing outside of our solar system in 1000 years.
We won't be going outside the solar system until we invent the hyperdrive.
And then nobody will volunteer to do it because everyone knows the hyperdrive always malfunctions at the worst possible moment.
I don't see it happening within 1000 years.
We don't need a hyperdrive to reach the nearest systems. We could probably do it within a 100 years if we were able to maintain a 1960's Space Race level of focus on it the whole time.
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From his looks Magus is Macho Man Randy Savage as an anime zombie. The black wind howls, and one of you will snap into a Slim Jim ooh yeeeah! -sonicblastpunch