I also think that, if such a loving god exists, then he should be able to forgive my lack of belief, because, I have done nothing to warrant eternal punishment.
In the Catholic view there's what is called invincible ignorance. Ignorance not by lack of education but because there are agents who put some kind of metaphysical blinders. Some of these blinders are the folk Christianity that is very insane. Atheism is valid for a lot of interpretations of Christianity.
And if such deity should deem me worthy of eternal punishment just because I couldn't believe, well ... then such a petty god wouldn't deserve my worship anyway.
Hell is not a punishment. Is a choice. C. S. Lewis said the gates of hell are locked from inside.