You have missed the point completely. People under great stress as a result of a huge shock do not think logically.
The fact that they are doctors is completely irrelevant. They are not policemen and the only people who one would expect to behave logically and calmly at such a time would be the police. However, the GNR behaved similarly to the McCanns and went through 5A seaching for Madeline - instead of cordoning the place off.
The McCanns and their friends can be excused for reacting like parents in shock - because that is what they all were. The police's reaction cannot be excused IMO.
Do you really think that if a Fireman turned up to a blaze to find it was his own house and his own children were inside he would be able to behave in exactly the same way as any other blaze involving children which he had attended - and that he would not be greatly affected? It's a preposterous suggestion imo.
The fact that they were doctor's is not completely relevant and as Gerry observed in a recent interview, many of their actions were indeed driven by their training in emergency situations.
"SF: But now when you look back, you realise it could be... could have been dangerous, for Sean and Amelie, to let them behind? No? No?
Gerry McCann: I don't think that... I don't think that's right and certainly in medical training, the first thing you get taught, in an emergency situation, is to call for help. That's part of... that gets drummed into you."
As to their friends, I thought most didn't know the McCanns or their children very well so it would seem to follow would be less emotionally involved and rather more clear thinking than say the Paynes.