Well, the PA will always sound different than your headphones.
In my case, our PA is never running a flat EQ, so that alone changes everything. I had the opposite: My first kit save was delicious in my headphones, but waaaay to much low end in the PA.
I finally had to set up my kit with the PA and set up my saved kit listening through the PA speakers - but in my DM10 it still sounds good through the phones. Just not as nice as I had it before. Being in two bands increases the challenge, but I've got it sounding pretty sweet.
I don't really have a clue what you're up against with the Strike. Have you tried running the Main Out with your headphones to see if the sound is different? If so, it there a kit-wide set of FX options? I could see how full kit FX might affect the Main (even Aux) Outs without affecting the headphones, possibly? Bah... that seems strange though - but might be the case, I guess.