I mean, it's like you're saying "in the name of spreading peace in the world I am actively and rightfully engaging in the act of hating another peacemaker."
Like, seriously?
Put aside every other thing about them, they are Muslims too, for Allah's sake.
They are in the religion of peace too, and so are you!
They are practising and embracing the teachings of Islam and the Sunnahs of our beloved Prophet Muhammad (pbuh) too, and so are you!
There are other (more beautiful and peaceful) ways of correcting a fellow Muslim's shortcomings, and enticing hate on him/her shouldn't even be a consideration ever. Our beloved Prophet was sent as a Messenger to all humanity, but above all, he was sent to perfect our characters and behaviours. Why are we not being a testimony to that?
If we can't even love our own brothers and sisters for the sake of Allah, how can we expect our same bodies and souls to show concern and care for the not yet Muslim in the name of Da'wah?
How can we expect our same bodies and souls to fulfil the purpose of being the slaves of The Most Loving and Merciful when we ourselves are showing hatred and resentment towards each other, nevermind the not yet Muslims?
Spreading hate will only sprout more hatred, and spreading more love are bound to blossom even more love because it is our innate nature to love, and not to hate. We were born through love, let us leave this world giving love and being loved by others.
Wallahu 'a'lam.