No, I do not believe in existence of a God and a God doing all this. All this is but an illusion, a play that seems to happen, due to interaction of what physical energy creates, nothing other than flitting of physical energy. Perhaps you have heard of a verse in Gita which says nobody kills another and no one is ever killed. All these are appearances. What constitutes us is eternal, we are star-dust.
The Advaitists (non-dual Hindu philosophy, that is my belief) consider those who think what happens in the world as truth, are the real deaf, dumb and blind.
"ya enaṁ vetti hantāraṁ, yaś cainaṁ manyate hatam;
ubhau tau na vijānīto, nāyaṁ hanti na hanyate."
(Neither he who thinks this is the slayer nor he who thinks it is slain, both are never in knowledge, for this never slays nor is slain.)
BahagawadGita 2.19
yaḥ — anyone who; enam — this; vetti — knows; hantāram — the killer; yaḥ — anyone who; ca — also; enam — this; manyate — thinks; hatam — killed; ubhau — both; tau — they; na — never; vijānītaḥ — are in knowledge; na — never; ayam — this; hanti — kills; na — nor; hanyate — is killed.