I guess the scientific response would be to come up with some kind of testable explanation for how astrology might work. Of the four known forces, only gravity would appear to be able to have any effect over the kinds of distances were talking about here, and the variance over a year in the gravitational effects from a particular star are so slight as to be inconceivably small.
Taking an example, I'm a Scorpio. The brightest star in the constellation is Antares, which has a mass of about 3.28 x 10^31 kg and a distance from the sun of about 5.68 x 10^18 m. Because the position of the Earth from the sun is 1.49 x 10^11 m, we can estimate the difference in force exerted by Antares on me (mass 1.0 x 10^2 kg) and see how it varies over the course of a year. (Newton's Law of Gravitation F=G( (m1xm2) / r^2 ) ) Crunching through the numbers, we end up with a variance in the force exerted by Antares on me over the course of a year is 3.56x10^-22 Newtons. (In other words, 0.000000000000000000000356 Newtons; by contrast, 1 Newton is about the equivalent of the force Earth's gravity exerts on a small apple). This force is so infinitesimally tiny that there's really no possible way it could affect me. By contrast, the gravitational force exerted on me by my car when I'm standing 5 meters away from it is 3.63 x 10^-7 Newtons, which absolutely overwhelms the force exerted on me by the star.
So none of the four known forces really can account for some kind of astrological effect. (The other three, electromagnetism and the strong and weak nuclear forces all work over much, much smaller distances and so cannot account for any effect from distant objects like stars).
The other effect you mention, quantum entanglement, does indeed operate. Physicists have used entangled particles to create some really weird effects. But the particles need to be in proximity to become entangled, and I've never been anywhere near Antares. But supposing that there is an atom or two in my body that does somehow contain particles that are entangled with particles in Antares. We still would have to account for how the time of year I was born somehow results in my getting entangled particles from Antares rather than (say) entangled particles from Aldebaran, the brightest star in Taurus. But there's no mechanism to explain how this might happen, or indeed to explain how having particles entangled with other particles in a particular star might have any effect whatsoever on my personality.
So I'd suggest that there's no possible way that physics as we currently understand it can come up with any sort of hypothesis for how astrology could work. That's not to say that the understanding of physics won't necessarily change; there's some really exciting stuff coming out of the LHC at CERN for instance. But there's nothing right now that could possibly provide any sort of working hypothesis for how astrology might work.
Which means, I think, that the onus is on believers in astrology to provide some sort of rigorous data to show that astrology does produce reproducibly correct results. As far as I'm aware, that's never been demonstrated.
Now, on the other hand, you can, I think, make an argument that astrology (like tarot or other forms of divination) may be a tool that can help the astrologer focus an intuitive understanding of a person's psychology. It becomes a means to unconsciously engage other skills (like listening, observing body language, etc., but all subconsciously) to learn things about a person's behavior. In that sense, it might be a sort of indirect means to gaining some insights. But as a science, I don't think you can make the case.
And now I'm done with geeking out and am ready for a little sex, dammit!