I would like to respond to the OP's question as a Christian.
I don't believe it is anymore difficult for an atheist to not believe in Jesus over any other God. An Atheist is an atheist. They do not believe in any God. However, they might have far more exposure to the God of the Bible if they are a Westerner and as such may face more opposition from those holding the Christian viewpoint . I feel if the majority of people on here were based in Syria your question might be asked differently (replacing Allah/Mohammed for Yahweh/Jesus). In my experiences, if someone proclaims to be an atheist they have no trouble with any God's. If they did struggle, they might identify as a Deist (there is one but I don't know which one)
Just my .02
I don't believe it is anymore difficult for an atheist to not believe in Jesus over any other God. An Atheist is an atheist. They do not believe in any God. However, they might have far more exposure to the God of the Bible if they are a Westerner and as such may face more opposition from those holding the Christian viewpoint . I feel if the majority of people on here were based in Syria your question might be asked differently (replacing Allah/Mohammed for Yahweh/Jesus). In my experiences, if someone proclaims to be an atheist they have no trouble with any God's. If they did struggle, they might identify as a Deist (there is one but I don't know which one)
Just my .02
We are not made happy by what we acquire but by what we appreciate.