Isn't that kinda the point of both beliefs, though?
I mean, Jews believed that they are God's chosen, and they have a divine mandate -- nay,
commandment -- to conquer everyone near them, take slaves, etc. It's right in the bible, you know? So if you want a people to conquer in your name, wouldn't you want them to do a better job at it and not lose half the army to dysentery and half the manpower to the occasional plague?
Christians at the very least believed that they must make everyone else Christian, and that everyone who isn't baptized and isn't believing in Jesus, isn't saved. Again, it's right in the Bible. Depending on time and place, they occasionally got a lot more violent forms of that thought, but basically the gist remains: more christians and less pagans is a good thing. So wouldn't antibiotics help there? If even by attrition it means that Christians push everyone else out of the way faster, over 2000 years, it means less people going to hell. It has to be good, right?
But, mind you, I wouldn't even go as far as ask god to tell people about
antibiotics. I'd be ok even with telling them to frikken wash their hands. Or to not poop near their water source. Or at least not going the extra mile of telling them to NOT wash their hands and dishes, really.
There was a whole age where the Church viewed any kind of hygiene or presonal grooming as the deadly sin of vanity. We have early apocalypses where basically the author fantasizes about women being tormented in hell for as little as combing and braiding their hair. (You just know that women only do that to tempt men to sin

) We have the same church be against the bathhouses remaining from the Romans, because OMG, seeing other guys naked could produce lust. And we have the punitive taxes on soap that I have mentioned before. And why? Because Jesus said that such things as washing don't matter.
The "Son Of Man" didn't even need to tell anyone about antibiotics. He just needed to keep his stupid pie-hole shut, to save millions of lives.