Recently, I saw this flash presentation about 10 dimensions.
I hadn't seen this. Having now seen it, watch it up to and including the four dimensional stuff. Everything after that is complete nonsense.
Is string theory at all feasible?
Yes, very much so. That doesn't mean it's correct. Still, I would be rather surprised if some of the theory did not remain as part of the real correct theory...
Is it something that has any weight or is it completely disregarded at this point in time.
Lots of weight and certainly not disregarded, but it has evolved into an area of work called M-theory.
it is not testable and unobservable with out technology.
One of the best tests of any theoretical physics is to see if it can predict the nature of the world around us - our world of quarks, leptons, gauge bosons, and gravitation. Just doing that is difficult enough and provides plenty of "experimentation" for the theorist. If we found a consistent theory that perfectly predicted our low-energy world, we would be more than happy!
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