@WBYeats,
Quote:- a doctor with experience in (not OF) dealing with patients
- a doctor with experience in dealing with patients
- a doctor with experience of dealing with patients
To me, there is no real difference here between those two. Both equally grammatical, both meaning the same.
In deference to your friend, I guess that the first might be slightly more commonly seen.
If I were to differentiate between the two, I'd use a different example: IN meaning in a particular field (such as geriatrics) and OF meaning of a particular problem (such as hernia).
But that is a fine distinction.