No, they are not the same person - or rather, deity in Greek myth.
Chiron, the centaur son of Cronus and Philyra was half brother of Hades, Hera, Zeus, Hestia, Poseidon, and Demeter whose mother is Rhea and father is also Cronus.
Dionysus is the son of Zeus and (usually) Semele.
No.
Christians do not.
Chiron was apparently called by the same name by Roman's.
Endeis, a daughter of Chiron, who was married to Aeacus, by whom she became the mother of Peleus and Telamon. Melanippe/Euippe, who was the mother of the god of winds Aeolus. Ocyrhoe/Ocyroe, who revealed the secretes of the gods - is also called Melanippe. Carystus, the son of Chiron, who became the father of Aristaios, foster-father of Dionysus.
Dionysus, the Greek god of wine, fertility, and revelry, looked up to several figures in mythology, particularly his mother, Semele, and his mentor, the wise centaur Chiron. Semele's tragic fate and divine lineage shaped his identity, while Chiron imparted knowledge and wisdom that influenced his development. Additionally, he was associated with figures like Hermes and Apollo, who represented various aspects of culture and creativity.
Chiron tells Percy that Mr. D is a god. Mr. D is the camp director and Dionysus the god of wine. He also says that almost every city in America has a building that represents the gods. This is some evidence he uses.
Because Thalia's tree was poisoned and someone had to take the blame. Obviously, Dionysus would not take responsibility for it so, it ended with Chiron being 'fired' and was replaced (temporarily with Tantalus)
It's Chiron.
He can make a person go mad and he can bring back a person from the underworld.
There is Grover, Clarisse, Annabeth and Percy(of course), Luke, bits of Kronos, Tyson(Percy's Half-Brother), Dionysus, Chiron, Thalia, Polyphemus, The Golden Fleece, Tantalus, The Party Ponies, Rainbow the Hippocampus
chiron's rivals are titans, and Ares
Chiron did not have a 'last name'.