who will win with their normal weapons and then in hand to hand combat
Storm Sangheili, mainly because of the more advanced technology. Sangheili have shielded armor, and plasma weapons, which would easily take down a brute, considering how fast the storm rifle is, especially in Halo 5. It would easily melt the brute.
Minor brutes would probably win because of their powerful melee attacks, and because they can absorb so much damage. However, had you said from farther distance, storm sanghelli definitely would have won because of the brutes bad accuracy and the elites great shielding and tactical manuevers.
Sangheili all day with their tech. As for hand to hand, I don’t really know, as Storm Sangheili seem to have more durable bodies and can probably punch harder than regular Sangheili.