How much freedom did God leave inside the human soul after Adam sinned?
Does Ephesians 1:4 say that God "chose" the unsaved to be saved? No. Read more closely. "He chose US IN HIM (already saved) to be holy and blameless (sanctification, NOT justification). This verse does NOT read: "He chose us TO BE in Him." It reads, "He chose us (already) in Him to be holy and blameless."
Does Ephesians 1:5 say that God "predestined us to be saved"? No. Read more closely. "He predestined us (believers) for adoption...as sons." Is justification the same thing as adoption? No. Adoption is consequence of justification.