It's possible to both have a generally high amount of faith in 'the science' while still remaining critical of its flaws, or rather, the flaws of the system in which its conducted.
I hesitate to use the word faith at all, even when describing the scientific process itself. Having faith in the process leads to (for lack of a better phrase) a failure to trust, but verify. IMO, it is one thing to approach scientific literature with a trusting demeanor and still walk through the proper processes to verify the results, and another thing entirely to literally take the author's word. Often times especially when big names are attached we aren't trusting-and-verifying we are simply taking their word. That's a problem that weakens the credibility of science.
I don't want to come off as someone who disregards everything he doesn't like. However, I do approach science with great pessimism and have since graduate school. Not because I hate it, or something is wrong with the scientific method, but because approaching it pessimistically allowed me to write better work by forcing me to actually perform the method instead of p-hacking my way to a result.
If there's a vaccine and the majority of people in that field say it's safe but you want me to be critical what do I do?