"Given the poor state of the clocks being used in the Galileo, the EU might come to the UK begging for access to the UK system..."
^ That is Brexit fantasy territory (again). You should know that France, Germany, Italy, Spain, Netherlands and Belgium all have well developed aerospace sectors and they can manage quite well without the UK.
Furthermore, just how is the UK going to pay for this shiny new me too GPS satellite constellation? With yet more of those magic Brexit unicorn currency units?