Self-discipline is self-discipline, inner peace is inner peace, since you acknowledge them as fruits of the spirit, how could they be at odds with Christianity? If God can use stoicism to help you achieve it, who are you to condemn it as pagan philosophy? The problem is never the philosophies themselves, but idolatries of them, and exalting yourselves as smart and enlightened, high above the "unwashed masses". That hubris is foolishness with God, not the pursuit of self discipline, inner peace or resilience.
What deters me is your labelling and closed mind. If you listen to this video, you'd learn that the problem in stoicism is not its error, but its deficiency. In other words, not about what it's gotten wrong, but what it lacks. According to this video, it even states that it has nothing against Stoicism, it just points out what you can never achieve through mental fortitude and other stoic virtues, and that's where Christianity fits in. If scoffing at the concept of bodily resurrection is the charge, then I'm afraid any denominations that preaches ascension of the soul to heaven or bodily rapture to heaven are what's really at odds with Christianity, for they have essentially denied bodily resurrection on earth with their alternatives, do you adhere to those?