Will try another approach.
Are liberal Christians who don't read the Bible literally true Christians or are the fundamentalists true Christians?
Salvation does not depend on reading the bible. It depends on believing in Christ and accepting Him as our personal savior.
Can one accept ordination of women and still be true to the Christian doctrine?
Salvation (being a Christian) does not depend on anything except accepting Christ as our personal Savior. The new testament, as I recall, does say something about women remaining quiet in church. The Great Commission is given to all believers (male and female) and that means to spread the Good News to all the world. One could assume that this means to preach in church. Frankly, as long as the preacher remains true to the Word, I have no problem with that preacher being a woman.
Can one be for embryonic stem cell research or IVF and still be a Christian?
Once again, salvation does not depend on one's opinion of these two subjects. Personally, I believe that embryonic stem cell research is murder of the most helpless among us. And I consider it to be evil. Adult stem cell research MIGHT be different. IVF raises questions in my mind as to the morality of it. Having never had to face the problem, it is difficult for me to render a judgement. Remember, however, that belief, or unbelief, in these things does not determine whether one is a Christian, or not.
Does people who don't believe in historicity of genesis, Noah's flood, and exodus are true Christians?
One is saved (becomes a Christian) when one accepts Christ as personal savior. Christians tend to believe the bible is the inspired Word of God, and that it is inerrant (without error). Accepting this does not determine one's standing with Christ. Far too many people read the bible and have questions based on a lack of biblical knowledge. What I mean is that people read a portion of the bible and contrast it to another portion and then because there is a question, they condemn the whole bible. Scholars spend decades going back to the original texts to develop their knowledge and understanding. For someone to spend 10 minutes and then declare the bible is false is more than a little presumptuous.
Who decides these things? It seems to me that since the Bible is open to so many interpretations, there are no final authority to settle these things.
Christ decides who is, and who is not, saved (a Christian). No one else, and the determining factor is our belief in Christ.
The devil causes doubt among mankind regarding the accuracy of the bible, and whether one man's death, resurrection and ascension is adequate to cover the sins of all mankind. God made that decision long ago, not the devil of today. If Satan can get believers (especially new believers) to doubt their salvation and repudiate it, then he has won.
The real answers to these questions depend on a simple procedure. Compare scripture with scripture.
Assume that God intended the LITERAL MEAING OF THE WORDS, unless there is a clear reason to believe the language is "figurative" or symbolic.
Fred