Why do you think the ideas of the New Lights were appealing to Protestants?

They were appealing because, The beliefs of the New Lights of the First Great Awakening competed with the more conservative religion of the first colonists, who were known as Old Lights.

The religious fervor in Great Britain and her North American colonies bound the eighteenth-century British Atlantic together in a shared, common experience.

answer; i believe the above statement is (true);

basic principles: federalism, separation of powers, checks and balances, judicial review, representative democracy, limited government, rule of law, individual rights and responsibilities, consent of the governed, majority rule, popular sovereignty, equal protection.