The clock was made & has run successfully for many years with the fly as it is. I would definitely NOT try to speed up the striking by trimming it!
I suspect that either your cleaning/overhauling has not been thorough or, more likely, that the mainspring needs replacing. Did you completely strip the clock to clean it?
The strength of the friction spring is not that critical. It needs to be strong enough to allow the fly to be carried by the arbour but weak enough to allow a little slippage when the train comes to a sudden stop.