Look dude, I don't expect people to believe in Judaism, the Tanakh, the Talmud and so on. My late husband was a Christian and didn't believe in the Talmud either, but he was always respectful in that space and I in his. I don't care what the bible says, the Quran and so on and happily state that. What I don't do, at least not purposely, is denigrate those that do by saying their scriptures are lying or otherwise invalid (to them). Telling me my scriptures are flawed/invalid/whatever as if it was an undisputed fact absolutely honks me off.
They ARE invalid TO ME, and I have no problem saying such, but I understand they're important to those who do believe. I recognise I am snarky... usually when people don't respect my boundaries, ask me to repeat myself or act in a way I believe is dishonest.
I try hard to respect the person... I despise Messianic Judaism, Jews for Jesus, Islam, American Evangelical Christianity, but I don't despise the people. Someone can think the Talmud is total bunk and even tell me they think as such, and I'm not going to be offended as long as they aren't denigrating me, HaShem or his word as I believe it to be.
When I discuss my beliefs with Christians/Muslims you'll notice I never cite the Talmud to them... because they don't believe it or accept it ergo it's a waste of time. The only time I reference it is if I am speaking for my own beliefs and why. When people cite the bible to me I can't stand it because they already know I couldn't care less. I won't even debate the bible or the Quran except in comparison to the Tankah, because I don't believe them anyway ergo I have no personal stake. I won't debate if Jesus existed, if Muhammad really saw Gabriel or anything like that because it's moot to me.
People are people, Christians, Muslims, Hindus, pagans, whatever, and they deserve respect for their basic humanity and as children of G-d. That doesn't mean I'll put up with any of the pernicious behaviour noted above and I'll call it out as I see it.