As a Christian I also accept evolution....microevolution. In fact, almost all the findings today that are based on evolution as observable, predictable, and repeatable are all, in fact, examples of microevolution. About 90% of all evolution that's talked about in textbooks and what's being conducted in science today is considered microevolution.
It's the macroevolution that Christians cannot support. The molecules-to-man theory is simply lacking logical scientific evidence. In fact, I believe that the Christians that call themselves theistic evolutionists simply do not take the Bible as the infallible Word of God and thus may be at a different level or maturity in their spirituality. When Christians or Christian scientists call themselves theistic evolutionists, there's a faith problem and perhaps even a conflict in their own worldviews. Microevolution is something that is, indeed, observable, measurable, repeatable, and predictable. Creationists/ID theorists don't have a problem with that because that's fact. We have a difference in worldviews of what we consider evolution and origins. Historical science are assumptions no different than what the Creationist/ID theorist has. As a result of these differences in opinions, Creation scientists approach their predictions differently than a Darwinistic/Neo-Darwinist's approach for basing his/her predictions on evolutionary findings. Creation scientists, too, have been able to contribute towards science using the same scientific methods as secular scientists. In addition, Creation scientists have also been able to make successful findings using their worldview of Creation. They used predictability based off of what the Scriptures have stated and have had success as well. So why can't evolutionists co-exist with Creationists and ID theorists? Why can't they both use their respective worldviews to both contributions towards science, and indeed, it IS science.
But back to this whole notion of "christians accepting evolution." I believe the term evolution has been hijacked by secularists. Evolution is marketed as used for observable changes and then used for unobservable changes such as molecules to man. Secularists have used bait and switch to indoctrinate students to accept evolutionary belief as observable science, yet historical science is just not observable. The terms science and evolution are currently being hijacked to impose an anti-God religion on generations of unsuspecting students.
Here's just a very VERY recent example of this sort of bullying and indoctrination in America today....
http://www.khou.com/story/news/loca...nt-says-teacher-taught-god-not-real/74723050/