Let's assume for a moment that two planets formed independantly in a system, one with an orbit significantly inclined from the ecliptic due to earlier chaotic interactions. Both planets are of near-equal mass. Both planets have substantial moons (relative to the Earth-Moon mass ratio).

Is it possible for the planets to come close to one another such that each planet pitches the other's moon out, leaving the two planets in orbit around one another, and that binary planet system in orbit around their sun?