Kihara Noukan vs Ibuki Mioda: who would win?

Kihara Noukan favored — Slight edge (~55%)

Kihara Noukan · Toaru Majutsu no Index · Base

Tier
9-A, up to 5-B
Attack Potency
Small Building Level, up to Planet Level
Speed
Peak Human, up to High Hypersonic
Durability
City Level

Ibuki Mioda · Danganronpa · Base

Tier
9-A
Attack Potency
Small Building Level+
Speed
Superhuman
Durability
Small Building Level+

A heuristic estimate from normalized VS Battles Wiki stats: tier, attack potency, speed and durability.