If there are atoms then the star isn't composed of neutronium.You say that a neutron star has a force of gravity that is so great it crushes the atoms!, does this not suggest that there is atoms to crush in the first place?
Therefore it's not a neutron star.
This is something else that's common knowledge and freely available on Wikipedia - you know, the source you claim to understand.
The thing is NOT a neutron star UNTIL all the atoms have been "crushed".
Ergo a neutron star isn't composed of atoms.-