Why would they crash in stars? There are virtually no stars out there – space is void of stars, and the chance of ever encountering one is about zero. For example, our sun is huge and is moving unsteered. It's not that it can't see the coming stars, it can't ever change course to avoid them. Yet I don't fear it ever hitting one. Even when we go through Andromeda, we're safe from collisions. Not as safe from being ejected into intergalactic space – that's a cold ultimate demise, and might cost a fortune in delta-V budget to avoid.
Furthermore, star movement is fairly predictable. You know where a star will be, even if you can't see it. Q doesn't happen to move them at random. Remember that question someone asked in here – does gravity work at the speed of light, or instantaneously? Well, you can't ever directly measure the answer unless the sun disappeared by magic. However, it turns out its motion is so predictable that the planets that orbit it see it coming minutes or hours before the light comes to them (otherwise the orbits wouldn't be stable), regardless of the fact that evidence would suggest the effect is mediated at the speed of light. If there can be stable orbits, I'm willing to bet safe superluminal trajectories are also available. Just project the star position based on its known earlier position and velocity.
Now, to the really important question: Why don't they crash in lone hydrogen atoms that would possess like infinite kinetic energy or something?