Ignoring would be ignorant, but research shows no reason to believe there IS a causal relationship between them. Besides, statistics are 98% bullshit anyhow.
Honestly, there is no good medical evidence to support NOT vaccinating your children and quite a bit supporting doing so. Sure, medical evidence can be wrong, but it's not really a good thing to go against when regarding children. You can't even use the excuse that medicine over-exaggerates risk. Most medical professionals agree that overdoing things like antibiotics and antibacterials (in the home and office) have actually INCREASED illnesses today. Being exposed to some, preferably low-risk bad stuff is good for developing immune systems. But for the higher-risk illnesses, the good does not outweigh the bad.