I don't see any reason why members of the Qualiflyer group would join/be merged into the Oneworld alliance. Currently OW has 5 members in Europe. I haven't even heard rumours (compare to the rumours that Gulf Air and Mexicana would join the alliance).
Many Qualiflyer members have left and established own programs or joined other alliances (Swiss, LOT). TAP doesn't indicate that their Navigator program would belong any longer to the Qualiflyer program.
It is true that many OW airlines codeshare with TAP and SN (f.ex. AY has codeshares with SN and TAP), and you can accrue miles between certain of the companies.