If one does not think science represents human's best attempt at the truths of the natural world, I would enjoin one to provide an alternative.
You have a point, however, we must recognize the existing flaws of current scientific inquiry in order to effect urgently necessary improvements. Those who deify "science," which has taken on a broader and broader meaning, are actually impeding important progress.
For example, a significant percentage of research papers (rates differ b/w disciplines) have been proven unable to be replicated (google "replication crisis"). Obviously replication is an integral part of the scientific process and it is expected that through these efforts we find out what doesn't work (and hence are led by process of elimination if nothing else), however, not nearly enough effort/time/money is devoted to replicating research and far too many studies are going unchallenged.
Another well-known issue is the fact that scientific studies are significantly more likely to produce desired results for those who are funding the research (google "funding bias"). Another issue is what is called the "file drawer effect" in which undesirable results are simply hidden/not published (this was big with anti-depressant research).Then you have various other biases that impact every level of scientific research, even at the level of the actual scientists themselves, hence the importance of double blind study design.
Ultimately, there are very valid criticisms to made with regards to the current state of scientific inquiry, and my point is that although it is "the best we got," it is simply not good enough, particularly when shaky, unreplicated results are hijacked by media and politicians.
Personally, I would like to see efforts to mask funding sources along with open source publishing so that other scientists can review and replicate easily. Maybe create incentives at the college/graduate level for doctorate candidates to replicate. At the very least, there needs to be no hiding of funding sources and conflicts of interest so that we can at least know when an agenda may be pushing for certain outcomes.
