Racing Point could be Filthy Rich, because of the Strolls' involvement. Maybe Derpy for Williams – less competitive than they used to be (Derpy used to be the best young flyer) but still sympathetic! Renault could be Fleur de Lis (because they're French). As for the rest, I have no idea...
Roseluck could be Alfa Romeo, their livery is similar to her color scheme. Applejack could be Haas, because they're American. And I guess Wind Rider could be McLaren (both used to be great but got involved in a conspiracy).
Speaking of which, I'm about to upload this picture to Derpibooru!