Other men and women. No Satan necessary.
True - but why is that?
Because as Satan lied to our first parents and deceived them into falling into sin - we are all slaves to sin until the Holy Spirit frees us from these chains and cures us of our sin-cursed blindness. Until then, all of us are like the Pharisees who Jesus spoke to, saying:
John 8:44-45 Ye are of your father the devil, and the lusts of your father ye will do. He was a murderer from the beginning, and abode not in the truth, because there is no truth in him. When he speaketh a lie, he speaketh of his own: for he is a liar, and the father of it. And because I tell you the truth, ye believe me not.
And again, until the new birth we (as it is written in Ephesians 2:2-3:
'... walked according to the course of this world, according to the prince of the power of the air, the spirit that now worketh in the children of disobedience: Among whom also we all had our conversation [our lifestyle] in times past in the lusts of our flesh, fulfilling the desires of the flesh and of the mind; and were by nature the children of wrath, even as others'.
All because, "the god of this world hath blinded the minds of them which believe not..."
So yes, you are correct. Men and women enjoy inflicting pain on one another (James 4:1-2 From whence come wars and fightings among you? come they not hence, even of your lusts that war in your members? Ye lust, and have not: ye kill, and desire to have, and cannot obtain: ye fight and war, yet ye have not, because ye ask not.).
But that is because they are slaves of sin - in bondage to Satan and blinded to the fact that we are all the children of the living God (through faith in our Lord Christ Jesus). Satan is the author of misery in his hatred for people (Satan thought he deserved God's preferred place in God's Creation - not lowly man) - but people are his unwitting dupes.
Our prayers are to all peoples - whether muslim, or whatever - that their eyes are opened by the Holy Ghost and they come to a saving faith and trust in our Lord Jesus Christ.