As Buddhism is growing in the west, we see this "conflict" a lot. In Asia I met some Buddhists-Hindus, Buddha, Shiva and Ganesh were equally important to them. Here in the west there are some Christian-Buddhists, people who believe in the Dhamma, but cannot stop Praying to Jesus. Let me add here that according to the Bible if you stop believing in God, you will go to hell no matter what, it is a serious offense for Christians.
I live in an almost 99% Christian country. You only find churches here, you don't find stuppas, temples or monks. It also contributes to the "Christian-Buddhist" phenomena as there is no strong Sangha.
According to the Buddha's teachings you should give up rituals, believe in the Buddha's enlightenment and follow the Dhamma, but on the other hand many people are claiming the Dhamma is more a "way of living" than a religion, so it could be adapted to another friendly religion.
Can a person follow the Dhamma and be a Christian at the same time?