Remove myself from 'My Info'

In Contacts Settings I've selected myself under 'My Info'. However, if my phone was stolen the thief would then be able to see who I am (and it wouldn't take long to then work out where I live etc). I would like to have 'My Info' as 'off' or not set it up - but it is forcing me to select someone from my Contacts. Is there a way I can revert to having 'My Info' blank?

Thanks