Prepare to publish @babel/eslint-* packages (#11894)

* remove private flag, bump node and babel versions

* disallow submodule imports

* Revert "Do not automatically publish eslint packages (#10722)"

This reverts commit 5ca8acdb38.

# Conflicts:
#	Makefile
#	eslint/babel-eslint-parser/package.json
#	eslint/babel-eslint-plugin-development/package.json
#	lerna.json
#	scripts/integration-tests/publish-local.sh

* disable submodule imports for babel-eslint-config-internal

* chore: push back a bit to make tests happy

Makefile

@@ -249,11 +249,6 @@ endif
 	$(YARN) lerna publish from-git --registry http://localhost:4873 --yes --tag-version-prefix="version-e2e-test-"
 	$(MAKE) clean
 
-publish-eslint:
-	$(call set-json-field, ./eslint/$(PKG)/package.json, private, false)
-	cd eslint/$(PKG); yarn publish
-	$(call set-json-field, ./eslint/$(PKG)/package.json, private, true)
-
 bootstrap-only: lerna-bootstrap
 
 yarn-install: clean-all
@@ -312,10 +307,3 @@ define clean-source-all
 	rm -rf $(1)/*/package-lock.json
 
 endef
-
-define set-json-field
-	$(NODE) -e "\
-		require('fs').writeFileSync('$1'.trim(), \
-			JSON.stringify({ ...require('$1'.trim()), $2: $3 }, null, 2) + '\\n' \
-		)"
-endef