The War of Wrath is a poorly-documented event in the Silmarillion with literally world-changing consequences. What do you imagine happened there?
For example, I consider some of the Valar indeed joined the Host of Valinor.
A conjecture on the matter: https://middle-earth.xenite.org/how-was-beleriand-destroyed-in-the-war-of-wrath/
Tulkas and Oromë could join the war as "combatants" and would be fine with the Maia Eönwë having overall command. After all, he's Manwë's representative and the Valar defer to Manwë.
If Occam's razor is applied, Ulmo would likely be involved, even if indirectly, in the reshaping of Beleriand as far as the sea is concerned.
The Ainu participants are there to take on the supernatural and Balrog-tier elements. The Vanyar and Noldor members of the Host are for fighting the other Children of Ilúvatar since the Ainur can't harm them directly.
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