The argument from evil is no stronger an argument than the fine-tuning argument. Moreover, the two are nicely paired up. Just as the fine-tuning argument seems to be seriously weakened by supposing a multiverse (since if there are infinitely many worlds, it's less surprising that some support life), so too the argument from evil is seriously weakened by supposing a multiverse of all creation-worthy worlds (since then there will presumably exist infinitely many worlds with lots of evils, as long as they are creation-worthy).
So here is a dialectical move a theist can make. Just sacrifice the fine-tuning argument to the argument from evil. Let the two cancel out! That still leaves the theist with a number of powerful arguments such as the cosmological argument, the argument from religious experience, the argument from moral epistemology, the argument from plausible miracle reports, the argument from consciousness and the argument from nomic regularity. The atheist, however, is left with little ammunition, besides some minor arguments concerning the exact formulation of divine attributes, which minor arguments can balanced off with less weighty arguments for theism, like the ontological argument or the argument from the experience of our lives as planned by another.
And so the balance of evidence, even if one does not take particular theistic arguments as apodeictic (I think one should do that in the case of the cosmological argument), strongly favors theism.