Especially when the only source cited in support decries the lack of testable predictions, and then you say "what's the point of testing predictions? it's a waste of time"
First, we prove that the Higgs is "a thing", which helps validate that our general model of the family of particles is on the right track and there isn't any unknown factor preventing this particle to exist. If the Higgs was never found, we'd have to explain that, just assuming any model is correct without ever checking isn't smart science.
Also, the Standard Model doesn't give the mass of the Higgs, so measuring them can fill in the blank there (at least they can give upper and lower bounds on the mass and statistically narrow that down as they observe more particles). Any model that attempts to explain the mass of the particles will therefore have one more data point it has to match, cutting out a virtually infinite number of potential equations.
The standard model was completely built on observation, not theory, observing previously unobserved quantum phenomena has obvious value in itself to improve the model.
http://en.wikipedia.org/wiki/Higgs_boson#Alternative_modelsPlus, there are already alternate models for the Higgs, and measuring / studying them more will rule out all models that don't match observations. This process will probably nuke a LOT of potential string theory variants, thus cutting down the chaff so we can see the wheat better.
This table summarizes the potential signifigance:
http://en.wikipedia.org/wiki/Higgs_boson#Significance