Forget about amending it--it needs to be abolished.
Back in the late 18th - early 19th century, there were very few common folk who even knew the name of the candidates. And with news traveling via Pony Express, getting reliable and timely information to the masses was effectively impossible. Therefore the idea of voting for a representative who'd vote on your behalf for a candidate made a bit of sense. The "Winner takes all" system of state electoral votes was a bad idea IMNSHO then as it is now though. I live in Tennessee for instance which is certain to go for Romney this year regardless of who I vote for or even if I vote. That's what I consider to be disenfranchisement, my vote simply doesn't matter. Likewise, a voter in New York likewise knows (or should know) that no matter who they vote for, Obama will win that state. In fact, unless you live in one of nine "swing states", your vote doesn't count! But those living in those states can't turn on the TV, radio, or go outside without being bombarded by thousands of negative ads paid for by mostly anonymous donors.
Today in the internet age, It's fairly easy to send a message to a very large percentage, if not a majority of the populace--though with the replacement of most hard news media with tabloid and shock journalism it seems the masses are more caught up in the "Bread and Circuses" offered by the ever-shrinking oligopoly of major media outlets than at any time since the fall of the Roman Empire. That is, the average American seems far more interested in Jersey Shore than boring politics. And with more biased editorial programming whether its Rush Limbaugh or Jon Stewart what political insights most people receive are sermons for the choir which is increasing polarization and dividing families, churches, and communities in the process.
I would like a couple of things to happen which could reverse this trend in very short order: 1) Require a basic civics exam to register to vote made to be as non-partisan as possible IE "You must be [x] years old to serve as a U.S. Senator." or "A president may serve a maximum of [x] [y]-year terms." This would hopefully help weed out those who simply vote for the taller candidate or the one their parents, minister, and/or spouse like. 2) I'd like voters to be required to answer a questionnaire such as the one provided at ISideWith.com to see which candidate's platform best matches their own interests and values. It would possibly open a messy can of worms to automatically cast a vote for the candidate who's positions best match yours . For instance, I may agree those most with Jill Stein's platform, but see Rocky Anderson's positions as more credible... But I'd still vote for either of them long before voting for Obama or Romney, and would vote for either of them long before I'd vote for Virgil Goode--Who's positions are nearly 100% diametrically opposed to my own. But I'm glad to have had the opportunity to hear them from him directly.
Require everyone to take a civics quiz and an all-inclusive candidate matchmaker questionnaire then compare the results of the latter among those scoring 75% or better on former to the overall popular vote generated by a free and open polling process.