Its not typical. But its not 'abnormal' either.
Historically this is something that has always been the case as childbirth is dangerous.
The questions for you to ask is do you actually want a child and if you do, how do you go about it with your fear?
The answer to the first question can be no, but if the answer is no because of you fear, it will haunt you.
There are women who are in or have been in the position where their fear is preventing them from having the child they want. I'm one of them. My little boy is three now.
There are also people out there who have studied this and/or have experience of helping women in this position. There are few and far between, but their existence tells you that its a more common problem than you might think. It even had a name - 'primary tokophobia'. There are patterns in who suffers from it too.
My specialist midwife made the point that every woman is anxious about childbirth, but the range of that is very broad, with fewest at either end of the spectrum. All of them are 'normal'.
As a previous poster said, the first thing to do is to unpick and unravel EXACTLY what your fear is and break it down into pieces. Then go from there as to ways to deal with it.
You are 32. You do have some time, but you need to start dealing with it too. It must have taken me bout 9 years to process it all - but when I started out the topic was much more taboo and there was a lot less out there about it. Over the last 15 years things have slowly changed and there is a lot more awareness and research about it out there which makes a huge amount of difference.
Don't let it rule your life and prevent it from being what you would like it to be. Make peace with it one way or another.
I'm not the only one on MN who has been through it. There are lots of others. There are common threads and themes, but there is no overall exact reason for it. Everyone's experience is unique and every situation different. What is right for one of us, isn't for another. Just don't ever think you are somehow flawed or a failure for how your feel. You are not. Its natural. Some people just find it more difficult than others and need more support. There is no shame in that.
Step one is facing up to it and admitting to it all, and then going from there.