Trusting the process is how our justice system works. We don't place our trust in individuals but rather the process in which individuals are actors. The same is true of science.
Oddly, however, you have placed your trust in the few individuals that you approve of. Trusting the process would mean going with the majority of evidence and experts, not the minority. Based on your example with climate change, we should choose naturpaths and home remedies over doctors and hospitals because sometimes they have good results and sometimes people die in hospitals while under a doctors care.