Considering how robotic the EC has become, it would be easier for states to pass laws requiring the SOS to verify Constitutional qualifications. It seems to me the founders were concerned with a very different country, back then, and didn't necessarily foresee the EC becoming a decision-making body, but rather an educated one capable of tabulating local votes across a scattered, rural populace with only rudimentary means of communication.
Kreep is arguing original intent vs. modern reality (pre-electiricity/railroads vs modern high-speed communications):
Defendants cite in their Motion to Dismiss, the concurring opinion in Williams v Rhodes as support for their contention that it is the exclusive role of the Electoral College to decide whether a presidential candidate is eligible for the office. Defendants Motion to Dismiss. However, the concurrence instead indicated the concerns that the founders had regarding the fact that the nation was too spread out for the average citizen to be able to make an informed decision about whom to vote for as president, "[t]he [Electoral] College was created to permit the most knowledgeable members of the community to choose the executive of a nation whose continental dimensions were thought to preclude an informed choice by the citizenry at large."By the time the modern EC meets, the votes have been tabulated, examined, analyzed and regurgitated, ad nauseum, by the media.
This concern is no longer relevant because, while the original intent for the Electoral College was to have a set number of "knowledgeable members of the community" make the decision of whom to elect as president, the modern function of the Electoral College is to simply cast a vote for the Presidential Candidate who received the majority of the vote from the State which each Elector represents. This change in the nature of the Electoral College has taken place because information about each candidate is now available for every voter in the country, which allows each and every voter to be "knowledgeable members of the community" capable of making informed decisions of whom to elect president.
You do realize that the COLB certification that Hawaii now issues routinely, as do most other states, is accepted by the DOS as proof of US citizenship and age? If states passed that law, they would have to accept the Certification of Live Birth, as opposed to a copy of the original birth certificate.