No, sir, you are mistaken.
>>Not all the photons will get through...
If you use a polarising filter, followed by a detector to detect only half of the photons arriving, then your are right.
However I did not say this. Certain kinds of crystal (calcite for instance) will bend the path of a photon based on its polarisation. So, wire up 2 photon detectors at different exit points from a calcite crystal, and all photons (minus random losses due to the material itself) will get through and be detected, both alignments..
>>>No, this is not the case at all. If you do not know which axis to measure on you destroy the entangled state.
**Completely incorrect**. Quantum theory says that you'll get the entangled photons polarization will correlate to each other .** It doesn't matter** what axis you measure on. If this wasn't the case, well, there wouldn't be anything special about this facet of quantium physics, that couldn't be explained with classical.
>>The spooky effect is that you do see either a quicker or slower dropoff than the cos^2(theta) for polarizers with these entangled state, I can't remember which (quicker/slower).
If you took 2 polarisation detectors, each measuring one of the entangled pair of photons, then cos^2(theta) describes how often the two bitstreams will correlate. However, theta is the angle between the photon detectors... It has no dependence on the original polarisation the the photons are emitted. Indeed it can be shown the emitted photons **cannot actually have** a specific polarisation.