Getty New York Jets defensive tackle Leonard Taylor III catching his breath in the middle of an NFL game. New York Jets defensive tackle Leonard Taylor III received some great news. Across the three days of the 2025 NFL draft, 30 defensive tackles heard their names called. However, the Jets didn’t pick a single one despite it being one of the biggest positions of need from the outside looking in. “Another winner [from the Jets’ results in April’s draft], Leonard Taylor III, and you’re thinking,