The problem with peer review is that the reviewer only has the paper to work with. The reviewer can check your maths and your conclusions, but he does not have experimental data, so he cannot check those. Which is exactly how a scientific fraud is done: one generates a plausible looking set of data and writes a paper around it -- the reviewer is none the wiser.
Which is why it is absolutely normal to reproduce the experiments in a paper and peer review them to get your own data. Also, some many papers have the data for download near them, and I know only few reasons why scientists refuse giving you their data for further research. Mostly commercial reasons.
Peer review is more than just getting accepted into a journal. In fact, you can publish a lot of stuff in quite popular journals without EVER getting any review before publication.
Peer review of your work even takes place, when you are already long dead. unless you work a company - in that case, you can only hope for peer review inside the company, your work will rarely be published for peer review. You only present them at conferences for letting your employer look good and attract new scientists for your companies work.
What you have right is the order of peer review:
First formal (you can already find bad work by only looking how citations are used), then abstract, then content and references, then data.
---------- Post added at 11:06 PM ---------- Previous post was at 11:03 PM ----------
I don't suspect fraud in the NASA team's results, I suspect experimental error. Specifically, force balance when ALL environmental interactions are accounted for. That is precisely the kind of thing peer review could help.
I don't even see experimental error there. NASAs team does not claim much there, which really deserves error as label. Maybe "happy little accidents", as Bob Ross would say.
Only the jump to the conclusion, that the hypothesis is potentially proven, despite the experiment contradicting the predictions, and proving a hypothesis, that the paper does not even seem to explain (the abstract already gives hints there) so you can understand why this conclusion was logically derived is really bad sloppy science.
But I have seen much worse there than that, really.