I also train the WSL way in the UK, and have got to say I feel the exact opposite. I no longer “fear” big muscley-looking blokes. I “respect” their strength, but the training has given me confidence to deal with that.
They may still be able to overwhelm me (got to be realistic, guys!), but I will put up a good fight first.
I agree with some of what has been said here. It is hard to do, but if you can get into the habit of chisaoing or sparring with the biggest, strongest guy at every lesson, that will really help your confidence. My instructor (32 years experience) prefers bigger, stronger people, as he finds them easier to deal with. That comes with relaxation and experience, of course.
It also depends how you chisao. We take the chisao up to the level where it is indistingishable from sparring, and train not to stop on the first hit. “Oh, you got me, lets start over.”
Thats really important. WSL always said that in a fight, you will be hit, simple as that, anyone who thinks they wont is kidding themselves. Youve got to learn to deal with getting hit, falling over, bumping into other people, chairs, tables etc. and then to continue fighting without stopping.
A few cut lips a lesson is a price worth paying for the extra confidence you get.
Oh, and again I agree with Sharky, Geoff Thompson is the guy to read about fear. Even his earlier, violent books, (Watch my Back) are all about fear, and dealing with it. His point of view is that it is impossible to not be afraid, it is simply a natural part of our biological makeup.
What is important is learning to control the fear, not be telling yourself to ignore it, but to accept it, understand what it is doing to your body, and turn it into something useful.
Even at the height of his prowess, when he had won over 300 violent conflicts and streetfights, he freely admits to feeling the same fear every damn time he had to fight. What this guy doesnt know about fear hasnt been written. 
The chalice from the palace has the pellet with the poison,
The vessel with the pestle has the brew that is true!
[This message was edited by Frank Exchange on 10-31-01 at 04:39 AM.]