diff --git a/.clang-tidy b/.clang-tidy
--- a/.clang-tidy
+++ b/.clang-tidy
@@ -1,4 +1,4 @@
-Checks: '-*,clang-diagnostic-*,llvm-*,misc-*,-misc-unused-parameters,readability-identifier-naming'
+Checks: '-*,clang-diagnostic-*,llvm-*,misc-*,-misc-unused-parameters,-misc-non-private-member-variables-in-classes,readability-identifier-naming'
 CheckOptions:
   - key:             readability-identifier-naming.ClassCase
     value:           CamelCase
diff --git a/clang/.clang-tidy b/clang/.clang-tidy
--- a/clang/.clang-tidy
+++ b/clang/.clang-tidy
@@ -1,4 +1,9 @@
-Checks: '-*,clang-diagnostic-*,llvm-*,misc-*,-misc-unused-parameters,readability-identifier-naming'
+Checks: '-*,clang-diagnostic-*,llvm-*,misc-*,-misc-unused-parameters,-misc-non-private-member-variables-in-classes,-readability-identifier-naming'
+# Note that the readability-identifier-naming check is disabled, there are too
+# many violations in the codebase and they create too much noise in clang-tidy
+# results.
+# Naming settings are kept for documentation purposes and allowing to run the
+# check if the users would override this file, e.g. via a command-line arg.
 CheckOptions:
   - key:             readability-identifier-naming.ClassCase
     value:           CamelCase
diff --git a/llvm/.clang-tidy b/llvm/.clang-tidy
--- a/llvm/.clang-tidy
+++ b/llvm/.clang-tidy
@@ -1,4 +1,4 @@
-Checks: '-*,clang-diagnostic-*,llvm-*,misc-*,-misc-unused-parameters,readability-identifier-naming'
+Checks: '-*,clang-diagnostic-*,llvm-*,misc-*,-misc-unused-parameters,-misc-non-private-member-variables-in-classes,readability-identifier-naming'
 CheckOptions:
   - key:             readability-identifier-naming.ClassCase
     value:           CamelCase