For many years I assumed that atheism naturally leads to humanism which naturally leads to leftist values. In recent years I have realized that I was wrong. There are a good many atheists who are right wing and not humanists.

The left supports:

Women’s rights
Religious rights
Civil rights
Equality for all
Some limit on guns
Belief in evolution
Belief in Climate Change
Belief in science in general

I would say that the majority of atheists also support these things. It’s not cut and dried though.

Atheism shouldn’t have any significant influence on political party, but you can’t help and generalize that the majority of vocal atheists are liberals.

It might be different in the UK, but here in America, right wing only meant being conservative on political issues. Since the time of Eisenhower in the 1950’s, the right has been taken over by the christians, as an attempt to force their religion into the government, so I would have to say that atheists here identify more with the Left than the Right. Eisenhower even warned of the hazards of a religion taking over a political party. Sadly for us, the warning was ignored.

i wouldnt correlate atheism with political leanings

I'm atheist and more centre - right. I don't like Theresa May, but I find myself more in accordance with Conservative values than with Labour's current fantasies. Jeremy Corbyn is a likeable man and an able orator, but he's surrounded himself with people who haven't got a clue what their jobs are.