Is "The Last Unicorn" an allegory for reincarnation and the Christ/Buddha figure?

The unicorn starts out in its garden of innocence and immortality, and if it leaves, it says in the movie that it can die. This seems very similar to the Genesis story. All the unicorns/ immortal spirits, have been tempted away or pushed away from their garden of innocence by the fear of the Red Bull, which they all along have the power over to defeat. Yet there is one Last Unicorn and it discovers that its fellow unicorns have been trapped in the "waves" which could be the cycles of death and rebirth. They are trapped there because of their fear of it, but in the end the Last Unicorn triumphs over it and frees the others. But before the Last Unicorn can do this it is cast into a body of flesh, dying in a sense to its true self and threatened that it may forget it is Unicorn in a world of illusions. The unicorn has its disciples of sorts, all intent on fulfilling their desires through the girl (unicorn). For instance, the Prince Lir tries to win through great deeds the girl, and is told that perhaps her love can not be won by great works. This correlates closely to religious arguments of faith vs. works. Another interesting scene was the skeleton monkey, which seemed to represent a disincarnate soul trying to satisfy its fleshly animalistic desires for wine and the magician turns water into wine, which reminded me of the water and wine story of Jesus. The unhappy king and his kingdom and the fact that the girl unicorn can only enter in disguised as a human, though the unhappy king recognizes who she really is and comes to her often to try and ensnare her, is in many ways similar to the coming of the Christ/Buddha figure in flesh in the kingdom of death and enslavement through which all souls must transcend. The unicorn is nearly pushed into the waves, but overcomes, indicating the unicorns victory over its human nature, though indicating at the end its partial identification and higher understanding through it. I wonder if anyone or any website has picked up on any of these interpretation in the movie or book, "The Last Unicorn." ???