I've been taught that faith and science/fact compliment each other.
Not necessarily, Cinnamon. And certainly not all the time.
First of all, I assume you mean complement (to complete), not compliment (flatter, say something nice, etc.).
Second, what is "faith" telling you? There are many faiths, and while there are areas of agreement, they often contradict each other. And they very often contradict science/fact. Science (real science, not quack theories) leads us to the same conclusions no matter where in the world the lab is located in. The truth is the same, regardless of the nationality, race, or religion of the scientist.
Faith is different. Most of them claim to have a handle on the truth, with no proof, only the word of a holy book or a "holy teacher." Faith gives us hundreds of versions of "the truth."
If your faith tells you that the earth was created in six days, how does that complement science? One is true, the other is not.
Women were created out of a man's rib? How does that complement science? Noah and his ark? Moses parting the Red Sea?
If you have enough faith in what the pastor of this church is telling you, you won't get Covid, vaccines are unnecessary?
There are hundreds of other examples. What might be said, however, even by nonbelievers, is that science deals with the truth, facts, realism. Faith deals with a poetic, philosophical description of what is true.
Where we run into trouble is when some people get the two confused, and think the poetry of the faith they have been taught is the literal, factual truth. And nothing will turn "faith" into truth when dealing with hard facts, such as a lethal virus. The sign on that church in the OP is promoting blind obedience, It is dangerous, and ignorant statements like this are the cause of many needless deaths.