We would almost certainly politicize it.

Realistically, there are very few scenarios where we can do anything whatsoever to meaningfully resist a civilization advanced enough to do manned interstellar travel, with our current level of technology, assuming our understanding of physics is correct (ie, assuming that there’s not some secret to faster than light travel that one tends to discover close to our level of technology, and therefore that the aliens have to have come the slow way). The energy required to even bring one ship of any usable size up to relativistic speeds is on the order of a doomsday weapon, so if the aliens intent is to destroy us, they absolutely have the firepower, and if it is not, they still have a huge technology advantage and the fact that their logistics facilities are up in space and far from our ability to do significant damage, while ours are all exposed to attack from orbit.

The only ways I can see it really much mattering what the human response is to invasion (beyond the option of surrender I guess, if the aliens intent is such that they’d accept one) are if the aliens for some reason are forced to fight on a more even footing (for instance, if they represent some renegade faction that barely has the resources to send a ship here, and can’t do anything too visible lest they run into trouble with their own authorities, or if for some unlikely reason they want to keep human casualties so low as to have difficulty attacking us while still fulfilling their goals).