You'll still draw the cards as Niv-Mizzet goes to the graveyard, and your opponents won't have fliers left over to swing out with, either
However, destroying the enchanted creature isnt always possible, especially in combat
version card

1.8%inclusion 64 decks 3.64K decks Loki, the Deceiver 2.1%inclusion 32 decks 1.55K decks Doctor Doom, King of Latveria 0.2%inclusion 15 decks 6.58K decks The Great Goblin 1.9%inclusion 10 decks 527 decks Thranduil, the Elvenking 1.0%inclusion 10 decks 1.04K decks Top Commanders Disa the Restless 35%inclusion 4.47K decks 12.7K decks Wick, the Whorled Mind 15%inclusion 2.09K decks 13.7K decks Yuriko, the Tiger's Shadow 4.4%inclusion 1.40K decks 31.5K decks Altar Ibn-La'Ahad 24%inclusion 1.37K decks 5.79K decks Ezio Auditore da Firenze 7.4%inclusion 1.36K decks 18.3K decks Etrata, Deadly Fugitive 22%inclusion 710 decks 3.25K decks Edward Kenway 4.5%inclusion 587 decks 13.1K decks Reaper King 6.2%inclusion 555 decks 9K decks Morophon, the Boundless 3.5%inclusion 534 decks 15.5K decks Rukarumel, Biologist 11%inclusion 481 decks 4.42K decks Rohgahh, Kher Keep Overlord 26%inclusion 378 decks 1.48K decks Endrek Sahr, Master Breeder 13%inclusion 263 decks 2.05K decks Sauron, the Dark Lord 0.7%inclusion 235 decks 36K decks Captain N'ghathrod 1.3%inclusion 227 decks 18K decks Shelob, Child of Ungoliant 1.6%inclusion 219 decks 13.4K decks Jenova, Ancient Calamity 3.0%inclusion 198 decks 6.56K decks Azlask, the Swelling Scourge 1.4%inclusion 187 decks 13.8K decks Maralen, Fae Ascendant 0.9%inclusion 182 decks 20.2K decks The Ur-Dragon 0.4%inclusion 176 decks 49.2K decks Kaalia of the Vast 0.4%inclusion 172 decks 38.4K decks Grist, the Hunger Tide 2.1%inclusion 165 decks 7.83K decks Hazel of the Rootbloom 1.2%inclusion 156 decks 13.2K decks Edgar Markov 0.3%inclusion 150 decks 48.9K decks Dr

Roll a d20