Europe is constantly pushing for privatization of public sectors such as rail, electricty... Subsidies would be socialist if the people owned the companies that received them, which is absolutely not the case. All the money transfers and other policies you talk about are only carried out in the sole goal of evening out a playing field for the european private sector to compete in.

You are right in that it is not exactly neoliberal, I believe the correct term is "ordoliberal".