Vaccine damage is a real risk. Minimal, but real. It does happen. Similar to the real, but small risk of permanent damage from the diseases MMR protects against.
Now let's try and be factual about this here.
1 in 5 people who get measles in the US require to be hospitalised.
1 out of 20 children who get measles will get pneumonia.
1 out of 1000 children who get measles will develop encephalitis, which can leave the child deaf or brain damaged.
Between 1 and 3 out of 1000 children who get measles will die from respiratory and / or neurological complications.
Let's just take that last statistic and let's interpret it as conservatively as we can and say 1 in 1000 children who get measles will die as a result of respiratory or neurological complications.
Now let's look at incidences of vaccine damage for the MMR vaccine. We're only looking at severe adverse events here, since we are comparing with measles deaths only.
Allergic reactions including anaphylaxis: 3.5 to 10 occurrences per million doses.
Seizures: some studies suggest a rate of 1 occurrence per 2,942 doses, or 1 per 3,000 doses.
Thrombocytophenia: 1 occurrence in every 30,000 to 40,000 occurrences.
Serious adverse reactions to vaccines are terrible. There is a vaccine damage compensation fund to recognise this. It's a terrible tragedy for those who suffer this fate.
But the risk of serious damage from measles is orders of magnitude greater than the risk of serious damage from vaccines. There is no comparable risk here. It is bad science to compare them. It is ignorant fear mongering to pretend that these are comparable risks, and that parents are entitled to give them equal weight. They are simply not the same.