"Our religion states that our bodies are the temple of God and we are not to defile them." [contamination of the blood and DNA structure by vaccinations surely falls under defiling]
"We cannot be involved with anything of an occult nature." [pig's blood, chicken embryos, cow brains, monkey kidneys, aborted human fetal cells: I challenge anyone to convince me that these are "normal" things that belong in a Christian's bloodstream. Call it what it is: a witch's brew]
"Our religion requires that we petition God for healing of diseases." [Remember how Asa died and it was emphasized that he was bankrupted by doctors, yet never once asked God for healing.]
These are some of my random ideas. I also found the following off vaclib.org:
The Bible teaches that there are clean and unclean animals and that God's people are not to put the unclean into their bodies (Deuteronomy 14). Furthermore, the Bible teaches that "Ye shall not eat of anything that dieth of itself"; (Deuteronomy 14:21) and "that flesh with the life thereof, which is the blood thereof, shall ye not eat". (Genesis 9:4) Vaccines are often made of, or embodies, fetuses or eggs of said unclean creatures. The process of creating the vaccine often causes said creatures to die in the process (i.e., dieth of itself). Many vaccines are made in or of the blood of diseased animals. ..
"And hearing this, Jesus said to them, 'It is not those who are healthy who need a physician, but those who are sick; I did not come to call the righteous, but sinners.'"
(Mark 2:17) [not sure if that is KJV, but you get the point]
Many other verses at this link:
http://vaclib.org/news/religion.htm