When the body finally dies, the link to the soul is broken and it is set free from its vessel.
It does not retain conscience, it does not possess free will, and it is bound by the same laws of physics that apply to everything else.
The two aliens landed.
For the next few days, they explored their surroundings, wreaking chaos everywhere they went, and occasionally killing people or destroying buildings.
The military did nothing but standing on alert and monitoring from a distance.