Don't think so. 40% of the sequester is non-defense...we never hear about that because the Dem/MSM axis tries to pump the defense angle to pressure the GOP into backing down.
Now, everyone knows defense is making most of the sacrifice (and some think all because of the headlines). Hereafter, the GOP can now make a case for something else to be cut in future aka entitlements.
I won't hold my breath.