I interact with anti-theist all the time and your correct,these ‘Bullet Points’ nail their voices Exactly.
Quora.com abounds with questions on such. One standard response, by the grace of God:
https://www.quora.com/How-would-you-respond-to-this-argument-Since-science-cannot-prove-or-disprove-the-existence-of-God-then-its-possible-he-exists/answer/Daniel-Hamilton-53
https://www.quora.com/If-God-is-all-powerful-then-why-can-t-he-stop-evil-from-happening-That-would-mean-he-s-not-all-powerful-If-God-refuses-to-prevent-evil-then-he-can-not-be-all-good-So-can-a-Christian-explain-how-God-is-all-powerful/answer/Daniel-Hamilton-53