Article continues below advertisementGwyneth Paltrow and Chris Martin are facing an unexpectedly personal clash years after their famously amicable breakup with tensions emerging over their daughter's push toward a Hollywood career.Paltrow, 53, and Martin, 49, announced their split in 2014 after a decade of marriage, with their decision to dub it a "conscious uncoupling" reshaping celebrity break-ups and emphasizing cooperation over conflict.