First off, it is highly unlikely that humankind will ever be able to make Mars, "Green". It doesn't have the mass to keep it's core molten and/or spinning. Without that, it cannot create a magnetic field sufficient enough to protect the planet from the Sun's solar winds that continually strip away the Mars atmosphere or cosmic radiation that continuously bombards the planet surface.
Hypothetically speaking, though, if we could restore Mars' magnetic field without changing it's size or mass, then yes, we could, possibly, make it "Green" again and we would not have to worry about "magnetic alterations" or a collision. Mars would remain in it's stable orbit.
Again, hypothetically speaking:
1) Recreate a sufficient magnetic field to protect the atmosphere from the solar winds and the surface from cosmic radiation (this is the part we don't know how to do yet).
2) Re-introduce an atmosphere on a planetary scale. The Sun and a thick atmosphere reheat the planet and melt the sub-surface ice (if any) to recreate liquid water.
3) Introduce oxygen creating greenery, survivable in Mars' lower gravity environment.
Might only take a few hundred thousand years, and I'm sure there are a lot more steps, but this is just a basic outline and for now, we can't even get past step one.
-Wolf sends