Did I not get it, or was that a plot hole so big you could drive a truck through it?

Rating: 4/10 (10 February 2007)

Total spoilers below

- - - - - - - - - - - - - - - - - - -

OK, I saw this movie today and I had one BIG QUESTION about it.
The entire movie is about the fact the world has gone sterile. Not one baby born in 18 years anywhere.
Clive Owen is asked to transport a pregnant woman to the coast to be smuggled out of the country on a boat.
The woman gives birth in a refugee camp just before they are supposed to leave. The group that arranged for him to help her had done a coup on their old leader and now want the baby to stay in the country and attack the camp to gain control of the baby. The government forces arrive in great numbers to control the camp and the refugee uprising in it.
In the middle of this battle the woman who now has had the baby is leaving a building and all the refugees in the building are in total awe of the sight of the first baby on Earth anywhere in 18 years, as are the government soldiers who have now moved into the building and call a cease fire. Clive and the woman now slowly make their way past the awestruck soldiers who have weapons, radios and all the usual military hardware.
Yet not one of them takes control of this baby or her mother, calls it in on the radio, asks for orders what to do, takes them to safety after the shooting resumes. They do NOTHING!
Clive, the woman and the baby just walk away!
How could they not freak out, call headquarters, escort the baby out of harm's way, lock them in the nearest armored vehicle and escort them to the capital or nearest hospital? I just don't get it and it really ruined the movie for me that they would just let this total miracle the whole planet has been waiting for just take a hike.
Can anyone who has seen this movie attempt to explain this?