If you had a magic machine that was able to take carbon out of the air and crystallize it into 1 m cubes of graphite using the ambient thermal gradient to power the process at 100% efficiency by sapping the heat from the atmosphere, you would run out of heat before you processed enough carbon to dent the current production of CO2.
Carbon capture can't do it. Blue crude and stuff like that is a viable option for the future of gasoline powered stuff, but we simply must stop pulling carbon out of the ground completely.