Hi Nick,
Generally speaking, it's not a good idea to run musical instruments through domestic hi-fi speakers, unless you first put the output of your electronic drum kit through a peak limiter--for exactly the reason you cite--the transient spikes.
Musical instrument amplifiers (guitar amps, etc.) use heavy-duty drivers designed for longevity, not fidelity. Even so, it's common studio practice to run the output of microphones on drum kits--any percussive instruments--through a limiter on the board to prevent sudden overloads from overenthusiastic drummers.
I'd suggest you don't do it. One sudden spike could damage a voice-coil former on one or your Axioms.
Get a guitar amp with a bullet-proof driver instead.
Regards,
