No, the only difference here is that the planets are all in gravitational alignment with one another. Move one and the others will move too.
Mars certainly plays a part in stabilizing the asteroid belt.
I’ve read that its believed that Mercury will one day fall into resonance with Jupiter and be slowly pulled outward from its orbit.
Besides, mars is already in the habitable zone around our sun. Its problem isn’t a lack of solar heat but an inability to hold it.