Doesn't really seem possible. The two party system is so deeply wound into the structure of the u.s. political machinery that a new party doesn't really stand a chance.
It might be time to throw the machinery out the window.
Wrong phrasing, a new political party could absolutely come into power. It would just replace one of the two-parties ideologies but be called the same thing and you still have 2 parties.
And especially treating political parties like sports teams that must defeat the other, regardless of whether it's in the best interest of the country