divergent · difference (of opinion, position); disagreement · (math.) bifurcation

It is on this point that our opinions differ.

Let's remember that it was a man from this state who first carried the banner of the Republican Party to the White House, a party founded on the values of self-reliance and individual liberty and national unity. Those are values that we all share. And while the Democratic Party has won a great victory tonight, we do so with a measure of humility and determination to heal the divides that have held back our progress.

It's clear that there's a rather strong disagreement between the two.

Jim sometimes has disagreements with his wife.

As Lincoln said to a nation far more divided than ours, we are not enemies but friends. Though passion may have strained, it must not break our bonds of affection.