Yet I'm paying for others to come into our area - others who feel their kids are exclusive and should have an education that is exclusive to THEIR culture on MY money at the expense of MY child.
No, you are not. Your LEA is obliged to find your child a school place, so that is what you are paying for. The parents of the children who are coming into your area are also paying tax, so they are paying for their own children to go to school.
You have every right to be annoyed that you can't get your child into the school you want, I completely understand that, but you don't have a right to make out that you are paying for other people's children to be educated, because you are not.
You are taking this too personally by saying that your child is considerd to be 'bottom of the pile' and 'not as valued'. It's not like that at all. It's just that certain schools have admission critera and your family doesn't meet them. It's no better or worse than children being denied a place at their parent's chosen school because they live a few meters outside of the catchment, or two meters away from the last child to be offered a place on distance criteria.
In an ideal world, we would all be able to send our child to whatever school we want and religion and catchments wouldn't matter at all. But we can't, it's simply not possible. I think that people who have a strong faith should be able to have their children educated within that faith wherever possible. Faith is free, moving house to get into catchment isn't.