First there is no such thing as science.
Sure there is. It is what scientists do.
its just a word to describe conclusions from people thinking about complicated things relative to that time.
False. Science is the practical application of the scientific method. Science involves experiments and testing, much more than just thinking about something.
However the best that can be said IS that science is a species of thinking.
False. Science is an activity. You might as well describe tennis as thinking about a ball going over the net.
In fact it should be first the evolution side that demonstrates your list of steps to justify the confidence in the conclusions.
That is exactly what the last 150 years of biological science have done. It is time that you joined us in the 21st century.