the verses from Phillipians say righteousness is by faith, not being placed “in Christ” the Bible is very clear this only happens by baptism.
besides, faith is a work and we know we are not saved by works. faith is something we do, therefore a work.
baptism is by the Holy Spirit, thru the Church and it is done to us, not by us.
So, tell us. How does the Catholic receive the Holy Spirit through the church?