Here's some practical advice. Chesterton is witty, but I don't think he has the power to smash through the skull of a thick-headed liberal puffed up on scientism.
Check out "The Last Superstition" by Feser, but also check out Wolfgang Smith:
"Wolfgang Smith graduated from Cornell University at age eighteen with majors in physics, philosophy, and mathematics. After taking an M.S. in physics at Purdue he pursued research in aerodynamics, where his papers on diffusion fields have provided the theoretical key to the solution of the re-entry problem for space flight. After receiving a Ph.D. in mathematics from Columbia University, Dr. Smith held faculty positions at M.I.T., U.C.L.A., and Oregon State University, where he served as Professor of Mathematics until his retirement in 1992. In addition to numerous technical publications (relating to differential topology), Dr. Smith has published three previous books and many articles dealing with foundational and interdisciplinary problems. He has been especially concerned to unmask conceptions of a scientistic kind widely accepted today as scientific truths".
Here are some titles (all available on Amazon): "Cosmos and Transcendence: Breaking Through the Barrier of Scientistic Belief", "Ancient Wisdom and Modern Misconceptions: A Critique of Contemporary Scientism", "The Quantum Enigma: Finding the Hidden Key".
Be warned, this is not light reading. You will not understand it if you don't have either a solid foundation in philosophy or mathematics, ideally both.
Every time someone uses "science" to justify their unbelief, it's a sure sign they don't know what the heck they're talking about.