As a freshman in 2020, Haladay redshirted and appeared in four games, recording no statistics.[3] In week 5 of the 2021 season, he tallied ten tackles with one going for a loss, a fumble recovery, and a forced fumble in a 48–31 win over Western Kentucky.[4] In week 7, Haladay intercepted a pass thrown by Jack Tuttle and returned it 30 yards for a touchdown, as helped the Spartans beat Indiana 20–15.[5] In the season finale, he racked up 11 tackles with 2.5 being for a loss, 0.5 sack, and a forced fumble, as helped Michigan State beat Penn State 30–27.[6] Haladay was named the defensive MVP of the 2021 Peach Bowl after recording a team-high 11 tackles and a 78-yard interception return for a touchdown to secure the Spartans' 31–21 victory.[7] He finished the 2021 season with 96 tackles with five going for a loss, 0.5 sack, a pass deflection, two interceptions, a fumble recovery, two forced fumbles, and two touchdowns, earning Freshman All-American honors.[8][9]
In the 2022 season opener, Haladay recorded a strip sack fumble and an interception in a 52–0 victory over Akron.[10] In week 10 he totaled nine tackles with 3.5 being for a loss in a win over Illinois.[11] For his performance, Haladay was named the Big Ten Conference defensive player of the week.[12] The following week, he notched 19 tackles with one going for a loss, as helped the Spartans beat Rutgers 27–21.[13] Haladay was named the Big Ten defensive player of the week for the second straight week.[14] He finished the 2022 season with 120 tackles with 11 going for a loss, 1.5 sacks, a fumble recovery, and a forced fumble.[15]