Your questions are hard to answer because they are based on the idea that there is one answer for all Christians. As you know unless you live under a rock--and nothing against you if you do
--the flavors of Christianity are wide and varied. Some believe the Bible is the literal "Word of God", and do not accept any ideas or beliefs that are not contained therein.
Others add old traditions from early Christianity to the mix. Still others believe the basis of Christianity is Jesus's admonition to love one another and test everything against that directive, including those parts of the Bible that don't fit into that paradigm.
So I will answer with my experience, even though I don't know if I could consider myself a Christian these days.
I grew up in your stereotypical hell/death/sin Christian church, where it was pounded into your head that you are dirt and one sin away from being whacked by God. Jesus was watching everything you did and recording it and telling on you. It wasn't fun. Got away from that one as soon as I turned 18.
But later in life, circumstance led me to the Episcopal Church. Now the EC is the descendant of the Church of England with all its traditions--including pagan ones incorporated and practiced from long ago. For example, There is something on the EC church calendar in spring called "Rogation days". These were days when the priest would go around to the farmer's fields and bless them for the coming growing season. That's a holdover from pagan rituals that was incorporated into a Christian practice. in England there are "holy wells", ancient places where wells were built around springs in the ground. They have the names of saints but the older names were that of the pre-Christians gods and goddesses worshiped in the Anglo-Saxon world. So, paganism was never fully eradicated from the English church.
In the American version of the Episcopal Church, pagan practices are not looked down upon. In fact, I have a friend who is an ordained Episcopal deacon. She was raised Catholic, practiced Wicca, and then felt called to the EC. When she was ordained, her best friend, a lifelong Wiccan, was one of her sponsors. Nobody cared; in fact, everyone likes this woman, she is just that type of person. The Episcopal Church sees itself as one path to God but not necessarily the only one.
That Wiccan woman's daughter, meanwhile, attended the church for a time because although she had met her father, who was not interested in being a father and said so honestly from the beginning, she still felt someone abandoned by him. Therefore, she attended an Episcopal Church for a time while not giving up her natural pagan practices because the Christian idea of a Heavenly Father comforted her, since she felt the lack of a father in her own life.
In short, the answers to your questions would depend upon what type of Christians you encounter, their own outlook at the natural world and all of humanity, and their sense of inclusiveness and openness or lack thereof.
Right here on the CD Pagan forum, which does not always get a lot of traffic these days, you have several people who identify as "Christo-Pagans" and "Judeo-Pagans", people who incorporate nature-based Pagan practices into their traditional organized religious practices and beliefs.