I do not believe in either Satan as the devil, or demons. Yes, I am a Christian, with Southern Baptist roots.
For starters, Satan is a Hebrew term, and it means Adversary or Acuser, depending on its context. Everywhere in the OT that the Hebrew uses Satan, it is actually ha-satan. Ha in Hebrew = the. So it is essentially saying "The Satan" or more accurately "The Accuser." The term is a title, not a name.
Demons in the NT are usually some type of disease or affliction that Jesus cured. Epilepsy, blindness, deafness, etc. Nothing supernatural about diseases and afflictions. Curing them was still a miracle, minus the demonology. Ancient man did not have an understanding of medical science like we do today.
My belief in God includes Him being omnipotent and the creator. If Satan or demons truly existed and were His arch enemy, God could simply snap His divine fingers and uncreate them. Satan is subject to God's will and divine authority. He can't do anything without permission. Christianity tends to make Satan out as a god or demigod, but since there is only one God...