Let's just review: Matthew 10:34 is the quoted verse, look up hte entire 10th chapter is you choose, here's an excerpt.
Whosoever therefore shall confess me before men, him will I confess also before my Father which is in heaven.
33 But whosoever shall deny me before men, him will I also deny before my Father which is in heaven.
34 Think not that I am come to send peace on earth: I came not to send peace, but a sword.
35 For I am come to set a man at variance against his father, and the daughter against her mother, and the daughter in law against her mother in law.
36 And a man's foes shall be they of his own household.
37 He that loveth father or mother more than me is not worthy of me: and he that loveth son or daughter more than me is not worthy of me.
38 And he that taketh not his cross, and followeth after me, is not worthy of me.
39 He that findeth his life shall lose it: and he that loseth his life for my sake shall find it.
40 He that receiveth you receiveth me, and he that receiveth me receiveth him that sent me.
41 He that receiveth a prophet in the name of a prophet shall receive a prophet's reward; and he that receiveth a righteous man in the name of a righteous man shall receive a righteous man's reward.
42 And whosoever shall give to drink unto one of these little ones a cup of cold water only in the name of a disciple, verily I say unto you, he shall in no wise lose his reward.
My interpretation is that the "sword" is not a choice between right and wrong, but a choice between following Jesus or not.
Again, this is not right and wrong. Even non-believers make a choices between right and wrong based on morals and ethics acquired throughout life.
This particular chapter is about Jesus sending out his disciples to spread the word. The word is: Jesus is your savior, accept it or perish in the afterlife. by "perish", I mean burn eternally in a lake of fire.
Wow, so humble.