The "connection": Pres. Obama worked around & knew & was personally friendly with Bill Ayers, who had in his past orchestrated terrorist activity on the United States Federal Government. Obama did not work with the Weather Underground, the Weathermen, or the SDS. Obama did not endorse the actions of this man, nor does he seek to defend Ayers' behaviors as a youth. In short, a "connection" is bull *beep* & an effort of Republican adversaries to demonize Obama during a highly-electrified Presidential election. They attempted to paint "Guilt By Association" on Pres. Obama. (Meanwhile, John McCain had been endorsing and defending everything the Bush Administration did overseas, but Guilt By Association is invalid when fingers point at Republicans.)
And killing illegal (though pixilated) aliens isn't terrorism, somehow?
Ayers is a semi-friend of mine, and he's a community activist -- as he always was. But if you'd actually watched the documentary, you'd know ALL the participants have regret for their "youthful exuberance." He -- and most of his compatriots -- are still involved in their communities, and it's in that context that Ayers met Obama.