I was actually thinking about saying something rather similar. Honestly the reason most scientists (I think) accept evolution is because they know that those in fields related to evolution do. Why do most scientists accept quantum physics or climate science? Because they are aware that there is a vast amount of research, they know how the research process works in general terms (those in the social & behavioral sciences may not know that mathematical journals don't have lead authors, but they these and other trivial differences don't matter). Because they trust in a process that could be wrong, but usually in fairly predictable ways over fairly predictable intervals of time. A study a decade old on cloud dynamics and how they should fit into climate models is fairly likely to be at least inaccurate. It's an area of climate science that we still don't know a lot about. Studies on atmospheric co2, on the hand, are about a century old, and climate science since 1988 has become extremely advanced. Darwin didn't know about genes, and Mendel didn't know about DNA or RNA. Before Einstein's work on the photoelectric effect "quanta" was still Latin and quantum physics didn't exist.
There are two things I'd like to highlight here. The first is that two of these "theories" (evolution and global warming) aren't really theories at all. They are a large number of theories bundled together mainly for discourse outside of science. For all three, a lot of experiments, theories, studies, conferences, reviews, and on and on are not on things like "evolution" but about extremely specific topics, such as an entire volume of studies all devoted to extracellular nucleic acids. Actually, the divide between chemistry, quantum physics, and biology can be very thin or non-existent.
Which leads to the second: referring to why scientists accept evolution is like asking why they accept astrophysics or neuroscience. There are so many things subsumed under the one word "evolution" that saying it is wrong is not to throw out one theory, but vast amounts of research from quantum physics to psychology to astrobiology. The longer something is studied, and the broader its scope, the more unlikely it is that the whole enterprise was completely wrong. Evolutionary processes aren't just confirmed by experiments, the ways in which such processes work tell us about how biological systems work.
So a lot of scientists accept it because they have some idea of how long and by how many people from how many fields have worked on the various this "evolution", and realize how unlikely it is that well over a century and the creation of new fields, interdisciplinary fields, etc., were all contributing to something that at its foundations was wrong.
And the great thing about the sciences is that if any psychologist, computer scientist, engineer, etc., wanted to see what support this "evolution theory" has, they could look. And it would be there.
The exception is quantum physics. That's just something physicists made-up after they actually figured it all out and wanted to keep their jobs.