While Luciferians and Satanists do not view Satan and Lucifer the same as Christians do, their choice of those Biblical names has everything to do with their views of Christianity. Satan and Lucifer are rebels against the Christian God, representing all of the things that God denies humanity according to the Satanic and Luciferian perspective. This is a summary of those perspectives.
God is OppressiveThe God of Christianity is oppressive, cruel, and arbitrary. Whether or not such a being exists is irrelevant in this context. The fact is Christians submit themselves to a demanding deity committing spiritual blackmail by threatening to damn the disobedient.
God Derides his Own CreationsAccording to traditional Christianity, the material world is full of sinful temptations that can lead a person from the path of salvation. These things are the comforts of life: good food, sex, luxury items and so forth. Why create them and then tell people not to enjoy them?
Both Luciferians and Satanists are unashamed about enjoying life to its fullest, ignoring cultural or religious taboos. For Satanists, physical existence is the sum total of human existence. For Luciferians, both spirit and body are important, but they are not in conflict with one another.
Encouragement of MediocrityChristianity downplays the importance of the individual. Pride in one's accomplishments is considered by many a sin. Without the promise of some wort of reward – acclamation, wealth, advancement, all of which are temptations – how can one be encouraged to excel beyond minimal expectations?
Mass Religion as a Means of ControlChristianity depends heavily on assumed authority. Christians are expected to accept he Bible as fact and to follow the dictates of church leaders. Personal interpretation is frequently condemned, particularly when it contradicts the understanding of the majority.
Satanism and particularly Luciferianism are esoteric religions. There are no holy texts. There are no gurus, saints or authoritative leaders. Both groups encourage individual study of all things and to never accept something solely because you're told you should.
Both religions are also religions of true believers. Because they do not seek converts, much less pressure people to join, all members want to be actively involved. Many Christians, on the other hand, were born into the religion and, at least in the mind of the Satanist or Luciferian, stick around mostly because it would take work to leave. They accept it because they've been raised to accept it. They disagree with contrary ideas simply because they run contrary to what they have been taught.
Delusions vs. RealityChristianity paints an image of the world completely at odds with reality. Natural urges are spiritually damaging. People are expected to be polite or even submissive in order to avoid conflict even with a clear aggressor. Spiritual beings judge each soul on arbitrary rules, leaving men in constant fear of their potential salvation. Satanists and Luciferians agree that there is more to the world than in readily apparent. Those things take time and energy and investigation to understand. But that doesn't make such things inexplicable. The world is able to be rationally understood. It doesn't need the existence of a being whose only proof of existence is a book claiming such a being exists.
Moreover, the Christian worldview denies natural laws such as survival of the fittest. Struggle is something to be embraced, not shunned.
A Good God Could Not Have Created this World Christians insist that God is entirely good, and also that he is the creator of everything. He created a world of hardship and struggle and pain, yet insists he only loves humanity. The reality of this world is at complete odds with the image of the world painted by such claims. The answer to this problem is to blame sin or Satan to have caused the Fall which perverted his entirely good creation. But that still doesn't address the fact that God allowed that to happen. Instead, it hands responsibility off to humanity or Satan, beings less than God according to Christianity.