Mazda Repair Questions? Ask Mechanics for Answers ASAP
Most of the Mazdas won't run without a cam variation relearn procedure if you replace the CMP sensor. Do you have a scan tool to perform the relearn?
As far as the smoking goes it might be related to the timing issue, but a stuck open PVC is a much more likely cause. If you already swapped the PCV then I would suggest to let the system burn out residual oil once you get the cam variation set and see if it clears up.
Please let me know if you need additional information.