Sorry, proggprod, that's a rather unlikely scenario.
IIRC, fastest peculiar(i.e. not related to orbital movement)velocities of individual stars in the galaxy are in the vicinity of a hundred kilometres per second. Moving at any sort of appreciable fraction of light speed is out of the question.
There are no nearby clusters of stars. As mentioned before, relatively slow velocities mean that it would take thousands of years to travel just the distance between the Sun and Alpha Centauri(4,5ly).
The nearest are Hyades, at 150 ly.
The mechanism for inducing velocities that you've proposed, is implausible as well.
Additionally, even if the Sun passed through a cluster, the event would not cause its destruction. At worst it would eject the planets into interstellar space.
The major problem with the possible scenarios is your insistence on "total destruction". It's surprisingly hard to destroy a planet. For example, the Earth will probably survive the Sun exploding in a few billion years.
The closest to it would be probably a collision with a large planetoid, so that the surface of our planet ends up molten or heavily volcanic. But I don't see any sensibly plausible way to actually vaporise the Earth.
If sterilisation is, after all, going to be acceptable, then I'd go for a nearby supernova. Betelgeuse is, for example, kinda sort of looking as if it was soon(in astronomical terms) to collapse. With a bit of stretching the reality, it could serve as the doomsday machine(make it enter the last stages of life now; pretend it's close enough to affect us; maybe make it rotate poles-on as seen from Earth, so that the gamma ray burst hits our planet; make it last long enough to catch all of Earth's surface). The actual state of the star is uncertain enough that you could simply go with better instruments allowing us to see the danger.