This is a triple threat
The three combatants have some interesting differences.
Of the three, Superman is physically the strongest but the destroyer and Juggernaut are in all likely more industructible. All three have amazing levels of endurance, so straight fist fights could rage on for months, but Juggy and the Destroyer have the higher levels of endurance. Superman has the speed factor won. His reaction time would allow him to avoid any punch from the other 2. His speed is great enough that he might also be able to avoid the destroyers energy discharges but obviously the destroyer can keep this up forever so Superman would eventually tire.
Supes heat vision mean squat to the other 2's indestructibility. As the destroyer armour can fly (shown in the past), and if no-one is thrown off the planet (Supes doing this to the Juggernaut), I think that Superman would go down first as the other 2 would wear him down and their blows have elements of the mystic in them (Juggy's force field and the destroyers enchanted metal fist/mystic energy projection).
It then comes down to the question of are Odin's enchantments on the armour's energy emission powers (specifically the disintegration beam) more potent than Cytorraks invulnerability enchantment ?
Juggeranut has always been assumed to be pretty much indestructible but I don't recall him coming up against anyone of Odin's level of power or greater. Cyttorak has focussed all his mystic energy in the area of Invulnerability/Strength, so is the potency of this greater than the wide array of spell enhancements the destroyer has.
This is a particularly difficult question but I would have to say that I would problably err on the Destroyers side because Juggeranut cannot harm the armour as it is impervious to his strongest blows. So yes, the Destroyer would beat Juggeranut eventually.
Eternal Chaos says:
"Destroyer seems extremely powerful."
That he is, as befits a weapon created by Odin, forged from some of the most durable materials known to the Gods and enchanted by spells/energy from Odin and other pantheon leaders. His energy emission/control powers are greater any single god's, even Odin's, hence why I beleive that the Destroyer could eventually beat Juggy.