Christians who have experienced God's love can be in no doubt as to its reality.
Unbelievers are hardly in any position to see this with their intellectually puerile, "God cannot exist because some really bad things happen" mantras.So. How's about trying to put the argument differently to them?
Try saying " Okay, let us assume that God is not good for the reasons you are presenting. But that does not provide any arguments whatsoever as to His alleged non-existence.
His existence cannot be dependent on His nature.
So if you do not believe in a loving God - start by offering Him the deference and respect that He is due as the most powerful being in the universe.
We'll have to get back to the 'why He is good bit' - on another occasion!