A yeshiva which truly serves God should be perfectly happy if a pupil feels more comfortable elsewhere.
Messianic redemption repeats Mosaic redemption.
Isaiah's prophecy about the lion and the lamb lying together isn't supernatural, but simply a metaphor for Israel and the nations. Brilliant distorted Sabbatean Nathan of Gaza, possible author of the Tu B'shvat seder and a kabbalat shabbat prayer, tried to so approach the Pope. The eschatological apocalyptic era is a much later stage, involving revival of the dead for a thousand year curtain call, followed by a world of pure soul and spirit, per Rambam. Human speech raises man far above animals. By it, he can draw others to God's Imminent Presence, Shchina, and to eternal life.