In the US, agents must petition a judge for a search warrant. If granted, the agent may then compel an IT company to produce. If they are able, they must comply. It isn't up to the CEO to decide what he feels is right.
Look for services that allow your data to be encrypted, but it must also clearly state the service provider does not have the encryption keys -- you do. Apple does this, I believe.
The worst part about the gas you put in your car are all the additives they cram in there. Gas for small planes you check it by sticking your finger in it to make sure it's full. Your finger doesn't even smell afterwards unlike car gas where you stink for a week. Also no skin cancer! Next you drain some from the bottom to make sure there's no water. After a quick visual inspection, you just pour it out onto the ground.
So mathematicians and scientists cannot be normal people?