Voting is the essence of democracy. If you believe in democracy, you know your vote makes a difference every time. It makes a difference in how you take part in the decision making, how you are a citizen.
Concluding that "On average, a voter in America had a 1 in 60 million chance of being decisive in the presidential election." can not be understood any other way than "your individual vote is useless", and it is completely ignoring the roots of democracy: every one vote counts the same as all the others.
You do not vote to "make a[n individual] difference", but to participate in a collective decision. Voting it is a collective act, not an individual one.