Do you have an after market intercooler or removed your stock one recently? It sounds like you have a leak in your IC piping. Check all your piping and make sure they're all the way seated and that all your clamps are tightened. I had a pretty much identical problem after my turbo/fmic install.
Basically what's happening is when you accelerate slow and low, you have no problems because your turbo is making little boost. When you get on it, boost increases and leaks out almost feeling like you're redlining. Only you're not getting fuel cut, but 'boost cut.'