With the new Trump/Putin alliance NATO will be threatened. It makes sense for Europe to develop independent military infrastructure and to ramp up military spending.
Galileo is a civilian project, though. It has features that are limited to police, border security, military, etc but it's an EU project. The EU doesn't have an army (its member states do, but the EU doesn't).
Can you be more specific? I live few kilometers from EU outer border with a hostile country, but have never seen or heard of such paneuropen guards. AFAIK paneuropean is only a law which requires every country to guard all their borders, and only non-national military we have is NATO.