So your first link is by a guy who also seems to think chemtrails are a problem. That doesn't inspire much faith in his numbers.
Meanwhile here's a graph showing measles cases were slowly lowering but had a sharp drop-off when the vaccine was introduced: http://www.historyofvaccines.org/content/graph-us-measles-cases
I'll also add this chart of deaths from measles that, if you drew a trend line would probably look more like your guy's graph: https://www.cdc.gov/nchs/data/vsus/vsrates1940_60.pdf (page 85)
So here's my interpretation: Your guy used deaths from measles instead of actual incidents of measles, and there were fewer deaths because hygiene, medicine and other factors improved. In fact, here's a nice long blog post addressing exactly those points: http://www.harpocratesspeaks.com/2014/06/pre-vaccine-declines-in-measles.html
Now, as to your polio vaccine argument... it does appear that a virus in the vaccine could cause cancer. However they fixed that in 1961:
The presence of SV40 in monkey cell cultures used in the preparation of the polio vaccine from 1955 through 1961 - http://www.ncbi.nlm.nih.gov/pubmed/10472327