Final answer:
Voltage-gated sodium channels are responsible for the fast postsynaptic responses in pre- to post-ganglionic transmission, allowing sodium ions to enter the postsynaptic cell and trigger an action potential.
Step-by-step explanation:
The fast postsynaptic responses in pre- to post-ganglionic transmission are enabled primarily by voltage-gated sodium channels. When acetylcholine, the neurotransmitter released at the neuromuscular junction, binds to ligand-gated ion channels on the postsynaptic membrane, it results in the opening of these channels. Subsequently, sodium ions (Na+) rush into the postsynaptic cell, leading to depolarization and the generation of an action potential, which can then trigger muscle contraction and other rapid cellular responses.