There’s a lot to unpack there, but I’ll be a bit blunt to start and say that you’ve been misled on a lot of points. Who is making money and from where is not always clear, but we can easily talk about the scientific evidence.
Firstly, don’t worry about the CDC. The US is just one country. There are over 200 other countries, all with their own health organisations. Say the CDC is rotten to the core — what about the Japanese public health authority? The French? The Australians? The Germans? The Chinese are not really on the ‘same side’ as the Americans, and yet they still support vaccination. There are studies from all over the world demonstrating that vaccines are safe and effective, and as I mentioned these look at millions of children.
And whoever told you that there has been no study of vaccinated vs. unvaccinated children is simply lying. There are hundreds of such studies. What some anti-vaccination advocates ask for is a randomized-controlled trial whereby children are randomly allocated into either vaccination or non-vaccination groups and compared over time. Sadly, in the real world we live in, this is not possible for any number of reasons, not least because denying lifesaving medical treatment to newborns is generally considered unethical. Similarly, there have been many hundreds of studies looking at the effects of multiple vaccines on young babies, and they have repeatedly shown that the rate of serious issues with vaccines is about 1 per million vaccinations given.
Finally, vaccine providers are not immune to prosecution. Whoever told you this is, again, simply lying. The US is not the whole world: there are hundreds of countries in which it is perfectly legal to sue vaccine manufacturers for any reason and yet there are still virtually no successful cases with regards to vaccine damages. For vaccine manufacturers to be immune from prosecution, there has to be a worldwide conspiracy, which I’m sure you’ll agree is a bit unlikely in this case — as I mentioned, many of the countries who use vaccines are not on the friendliest of terms.