Football and baseball aren't even remotely as popular worldwide than soccer. What do you mean by bigger? I define it as popularity.
Nobody outside of the USA gives a s*** about American football. Nor should they. And baseball is only relevant in the USA, Japan, and a bunch of third world Caribbean countries that suck at soccer.
Soccer is by far the most popular team sport in the world.
I agree with what you said about the problems facing European leagues right now, but that isn't going to remove the sport from its top status.
Baseball and Football are extremely popular in Mexico