I think it's important to keep a sense of persepective about this, and understand the distinction between the media hype, which CERN don't correct, and the physics. Take a look at
A Zeptospace Odyssey: A Journey into the Physics of the LHC on Amazon. It’s by Gian Francesco Giudice, a physicist at CERN with a hundred-plus papers to his name. There's a search-inside on Amazon. If you search on Higgs sector you can read pages 173 through 175. He starts by saying: “The most inappropriate name ever given to the Higgs boson is 'The God particle'. The name gives the impression that the Higgs boson is the central particle of the Standard Model, governing its structure. But this is very far from the truth.” He also says the Higgs mechanism is “the toilet” of the standard model, and is “frightfully ad-hoc”. On page 174 he says: “It is sometimes said that the discovery of the Higgs boson will explain the mystery of the origin of mass. This statement requires a good deal of qualification.” To cut to the chase he says “In summary, the Higgs mechanism accounts for about 1 per cent of the mass of ordinary matter, and for only 0.2 per cent of the mass of the universe. This is not nearly enough to justify the claim of explaining the origin of mass.”