I believe the whole 'God Particle' name came from the fact that if it hadn't existed, none of the particles created at the Big Bang would have developed mass. Without mass, you have no gravitation. Without gravitation, you don't have bits of matter sticking together (short of electromagnetic and nuclear forces). The funny thing about gravity as a force is that it doesn't have a corresponding 'repeller' force. Once you get bits sticking together under gravitation, they tend to get bigger as long as there is matter to collect. Electromagnetic forces tend to balance each other out over time, and the nuclear forces are mostly effective at very short distances (hence, 'nuclear').
So, without bits sticking together, you don't get planets, much less stars. Without planets and stars, you don't get life. Ergo, without the Higgs boson, life could not have come into being.