should faith trump fact?

It is easy to believe a fact after irrefutable scientific evidence is provided, However some had correct faith in a theory before another finally discover the laws that provide the scientific empirical proof. For example many had faith that the earth was round but it took Columbus to provide actual fact that it was round. Others had faith in gravity but had to wait until Newton discover the laws behind it. Many had faith in the light/speed theory but had to wait until Einstein provided scientific evidence with his famous equation. A lot of people had faith that harmful bacteria was the cause behind their illness and deaths (Great Plagues) but had to wait until the microscope and vaccines were discovered to prove it with scientific evidence.

There are many more examples of people having faith but lacked the knowledge and yet-to-be invented technologies to provide the scientific proof that moves faith and belief to fact. Yet whether faith existed or not, nonetheless, the truth about these things existed and was totally non-affected by belief or non-belief. Moving on to religion, if one has faith that the great saints of many religions of the past actually worked those great miracles then those saints had to have knowledge of the hidden laws to operate them at will. One day science will discover those laws likely through the Metaphysical Realm. Granted, a great many faiths throughout history have been proved to be scientifically erroneous so I can understand your position.

Well, would you buy a car that had been tested and scientifically proven through rigorous trials to be safe and operate properly, or would buy one that they just decided to have faith that it will work without going through evaluation or analysis to prove it?

Faith is wishful thinking.