Overcoming acrophobics by challenging them to height?

Hi all,

I hope I'm in the correct forum to ask opinion about my fear of height. I'm not sure whether what I'm suffering from is acrophobia. I enjoy roller coaster or other rides. I'm totally fine with Ferris wheel. As long as I have a firm place to stand or sit or hold on to, I'm most likely fine. But I got really scared of walking on heights with possibility of falling e.g. to rock climb, walking on ropes, etc.

10 years ago, I had been into some teambuilding challenges where it supposed to "overcome your inner fear", involving walking in a horizontal log or a thread of cable. I remembered it took me very long to brace myself and run onto the log or cable, and I did fall.

Recently, I was into the same challenges, this time I'm with a team. After going through the first challenge (walking on horizontal log), I was struck with anxiety to move on. It's not only the fear or falling, but most likely the fear of bringing down my team down if I fell. It also took time to brace myself but we have time constraint where the team behind us has to catch up. It was a pyramid-style of challenges where you have to keep on going up and finished it with a flying fox. The pressure overtook the will to move on and I started to shake and cold sweat, and finally decided to withdraw while I was still on the lower part of the tower.

The rest of the teams were successfully completed the challenges although they admitted they were afraid, and I could see their joy of accomplishment. I didn't regret my decision but very upset with myself. Logically I knew I was on safety harness, but my body just refused to move. However, I wonder if facing the challenge can really cure the fear? Most team-building challenges claimed it is a proven method, but is it wise to force someone who is dealing with the fear? I think fear is personal, but you can't force it and no rights to label those who can't continue as a failure.

It'll be nice to hear your opinion.