I thought your application involved just CFM pages that implement CFHTTP. Hence my suggestion to enable Debugging Output in the Administrator.
From the look of it, your application involves invoking CFCs. This calls for a change of plan. You should de-activate Debugging Output. It is a very blunt instrument in the circumstances.
The cftimer tag or getTickCount function are more appropriate. I guess you are using them already.
The question remains how to crank up the speed in this new setting. Invoking a function in a CFC to interact with a remote server can be costly in CPU terms. I'll have a think.