Almost all Anglo-Saxon Americans are "distant cousins" of Abraham Lincoln. It's just a matter of actually having enough genealogical records. He's my 5th cousin 9 times removed (Tom Hanks is Abraham Lincoln's 3rd cousin 4 times removed for reference). Martin Luther is also my 13th great grandfather. If you go far back enough you can find that most Europeans are direct descendants of the Habsburgs and Caesar etc.
Given the proper information/records, genealogy doesn't become a question of "are they related" but "how related are they". The ants in your back yard and the bacteria on the rocks of the Calypso Vents are technically your distant cousins.