I'm thinking of the Lensmen series--the stardrive ejects non-interacting particles and thus doesn't tear things up. And since it's inertialess you can't use it to accelerate an impactor. However, you can go grab something that's already moving how you want, slap an inertialess drive on it and reposition it so that when the drive is turned off it's heading for your target. When it's a planet you fling around that can be pretty dangerous. And when it's a FTL planet (everything is Newtonian, this doesn't cause issues other than for the crew--can't allow one atom of native matter into your ship, can't use one atom from your ship in the drive on the planet) the results are spectacular.
(Note that they also have normal reaction drives in the Lensmen universe--the stardrive will get you to your objective but you still need to match velocities with it. And that does tear things up and we see it's use as a weapon, although not against a peer-class opponent.)
Also known as the Kzinti Lesson, from Larry Niven's Known Space series. I've not read where in that series this term is first introduced, but they're somewhere in all that.
> Obviously anything even wilder like an Alcubierre Drive would be likewise
Not yet known; the original Alcubierre Drive is a toy model that demonstrates the point, but has so many problems with it that, as is, it definitely won't work.
Something else along similar lines that does work? The only thing it won't act like when it hits something, is like being hit by normal matter that's actually moving at the speed of light, because if it did it would also be an infinite free energy source.