First the EPP is center-right, not conservative right-wing.

As far as I can see it, they are conservative-right wing. It’s even clear from the first sentence of the Wikipedia article you posted further down:

with Christian-democratic,[4] liberal-conservative,[4] and conservative[5][6] member parties

Second there’s too much leftists’ bullshit already in EU member states

You mean like those competiveness laws discussed in this post?

that only benefits the USA

Sounds like a conspiracy myth to me. Feel free to elaborate.