Europe wan'ts an own system because the next step will be to create a real european army
I don't think so. Europe cannot even agree on whether the sun is shining.
There are just 2 countries in Europe with any kind of backbone: France and the UK (in that order). The UK is diminishing in both capability and political will. France looks after itself, as always, and if they want to sink some Greenpeace boat they will just do it, only more carefully than last time.
It would not suprise me if Galileo is salvaged using taxpayer money. But who cares? My KLN94 will be picking up the same US satellites as before, it doesn't need any more to enable me to fly a track accurate enough to fly into the back of somebody else on the same track, and if it can't pick up the Galileo ones I won't be ripping it out for another one. The EU may as well mandate a minimum thickness of paper for chocolate wrappers, or launch the Galileo satellites to an orbit around Mars (they might be genuinely useful there).