As cuul as it'd be, I don't think they will get to fight the Red Hair Pirates.
Legit, think the latter are gonna be hype tools for Teach and his boys tbh, though I don't think said defeat will be the end of the Red Hair Pirates, we'll probably still see them in some capacity after the SHs defeat the BB Pirates, maybe when all is said and done and the SHs have defeated Teach and are the clear favorites for the OP, they fight the Red Hair Pirates as a formality.
Cross Guild on the other hand are very much looking like opportunists at least with regards to their approach towards the OP, so I predict that they will most likely go after the SHs when they are at their weakest probably just right after the SHs v BB Pirates kinda like Rokugyu's attempt on Wano. Reckon the WG will also try to jump them as well so we could very well see SHs v Cross Guild + WG in a three way fight for the OP. Hell Shanks usually appears in this kinda situations so, SHs & Red Hair Pirates v Cross Guild and WG potentially.