Well, first of all, who claims that people are consistent in their beliefs? But that aside, let's take up your question. I'm going to categorize a bit, so as to make discussion easier.
#1) Evangelicals that believe that the New Testament is the infallible word of God, and absolute truth in all particulars.
People that believe this but still don't follow/agree with 'the word' exactly can have multiple (and very human) motivations. One is that they would like to follow the word, but are too weak and prone to human frailties. Another is that they simply consider some things to be too hard to follow, or they are too lazy to follow them, but they know that since the core of their belief is that Jesus died for their sins, as long as they have truly accepted Jesus as their savior they will go to heaven. (Yes, this is a double-think sort of situation, but it is not logically undefensible.) In fact, by that logic, even if they consciously and willfully reject elements of Jesus' philosophy and teachings, they'll still get their heavenly reward.
#2) Christians that believe that Jesus is their savior, but that the New Testament is NOT necessarily the absolute truth.
How can this happen? You can have people that believe that while Jesus was God, the people that actually wrote the stories and accounts of him were just fallible human beings, and they easily could have made mistakes in recounting, or unintentionally (or even intentional) added their own biases or beliefs to the account. However, even if some of the details of the message are wrong, they still get the Heaven Insurance Plan as referred to in #1 above. :)
#3) Christians that neither believe in the infallibility of Biblical text, or in the concept of Jesus as deity.
Yes, there are Christians who follow christian belief because they agree with some or all of the philosophical concepts. However, one does not have to agree with everytenet of a philosophy in order to consider oneself an adherent of that philosophy. Continueing to call themselves 'Christian' even if they don't accept all Biblical teachings is simply a way of acknowleging the primacy of Jesus' teachings in their philosophy. And besides there aren't any good names for someone that believes in Christian philosophy without being Christian. (Well, except possibly for Unitarianism. )
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#1) Evangelicals that believe that the New Testament is the infallible word of God, and absolute truth in all particulars.
People that believe this but still don't follow/agree with 'the word' exactly can have multiple (and very human) motivations. One is that they would like to follow the word, but are too weak and prone to human frailties. Another is that they simply consider some things to be too hard to follow, or they are too lazy to follow them, but they know that since the core of their belief is that Jesus died for their sins, as long as they have truly accepted Jesus as their savior they will go to heaven. (Yes, this is a double-think sort of situation, but it is not logically undefensible.) In fact, by that logic, even if they consciously and willfully reject elements of Jesus' philosophy and teachings, they'll still get their heavenly reward.
#2) Christians that believe that Jesus is their savior, but that the New Testament is NOT necessarily the absolute truth.
How can this happen? You can have people that believe that while Jesus was God, the people that actually wrote the stories and accounts of him were just fallible human beings, and they easily could have made mistakes in recounting, or unintentionally (or even intentional) added their own biases or beliefs to the account. However, even if some of the details of the message are wrong, they still get the Heaven Insurance Plan as referred to in #1 above. :)
#3) Christians that neither believe in the infallibility of Biblical text, or in the concept of Jesus as deity.
Yes, there are Christians who follow christian belief because they agree with some or all of the philosophical concepts. However, one does not have to agree with everytenet of a philosophy in order to consider oneself an adherent of that philosophy. Continueing to call themselves 'Christian' even if they don't accept all Biblical teachings is simply a way of acknowleging the primacy of Jesus' teachings in their philosophy. And besides there aren't any good names for someone that believes in Christian philosophy without being Christian. (Well, except possibly for Unitarianism. )