Mr Josovic was ambushed by three men who 'pounced' on him as he left a patient's house and stole they keys to his car, which is believed to have been purchased privately and is needed in case of emergency after care.
Mr Josovic, who owns the Circumcision London business and charges from £180 for a local visit, performs circumcisions for several different communities.
Religious circumcision is largely unregulated in the UK - but medical professionals who have botched private operations have faced sanctions from the GMC.
When the picture of the stolen car went viral online, many social media users questioned why a private circumcision surgeon has an ambulance complete with emergency vehicle markings and flashing lights.
A CQC spokesman said: 'A person who is not a healthcare professional who drives a vehicle in which, or from which, he or she undertakes circumcision purely for religious reasons, is not classed as a 'regulated activity', which would mean that they would not need to be registered with CQC.
He added: 'However, were the circumcisions to being performed on medical grounds or were the person to use the 'ambulance' to transport people to hospital who require treatment, then the service would probably be classed as the regulated activity of 'transport services triage and medical advice provided remotely', in which case it would need to be registered with CQC.'
Scotland Yard confirmed they were investigating the theft and said no arrests have been made.
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