Of course, critical thinking and logic are anathema to anyone who believes in god.
Given 1: I believe in God. Given 2: I am an excellent computer engineer, with dual degrees in computer engineering and computer science. Given 3: Earning dual degrees in computer engineering and computer science and working as a computer engineer require strong critical thinking and logical skills. They also require having taken classes in logic and critical thinking. Step 1: Earning computer science and computer engineering degrees and working in the computer engineering field require logical and critical thinking skills (Given 3), and I work in this field and have those degrees (Given 2). Therefore, it follows that I have logical and critical thinking skills. Step 2: I have logical and critical thinking skills (Step 1), and I believe in God (Given 1). Therefore, there exist some people who believe in God and have critical thinking and logical skills. Conclusion: I have disproved your statement that "critical thinking and logic are anathema to anyone who believes in god" by counterexample. QED.
"I couldn't remember things until I took that Sam Carnegie course." -- Bill Peterson, former Houston Oiler football coach