No. The core of neuroscience (as reported in Neuron or Nature neuroscience) is top notch science. What you see blown up in media reports are usually reports that jump to conclusions and generalizations too fast. Neuroscience is not shoddy, however due to its relation to psychology it's bound to be abused by pop press. The truth is, at this point we still know very very little about how the brain works, so everything that is 'backed by neuroscience' should be taken as early speculation.

The problem of bad statistics is more applicable to medicine than neuroscience: http://www.plosmedicine.org/article/info:doi/10.1371/journal...

This is not a particularly enlightened view. While many people think top-down neuroscience like cognitive psychology, using techniques such as fMRI is the entire field, the majority of subfields in neuroscience are bottom up, and attempting to answer smaller-scale questions more concretely than we can in humans.

To say that there are some over-interpreted cognitive psychology studies so all of neuroscience is worthless completely misses the point.

To be fair, that's generally only a criticism of fMRI experiments. Far from all the neuroscience research being done.

fMRI: Modern day phrenology

That is not what the posted article is about, though, so the title is still misleading.