Being disingenuous and arguing in bad faith on both sides is granted. But also:
- Defending, omitting or minimizing problems on their side of the spectrum. Both sides are guilty of it. When you talk about pedophiles among priests, pastors and other religious and conservative figures - I agree, there are and it's awful. When they talk about pedophiles being LGBT activists - I agree, there are and it's awful. "But look at your guys" is not the appropriate answer.
- Inability to comprehend that other people don't share their values. I admit, I just skimmed through most of it but I found people threatening an atheist with God's wrath rather funny.
- Promoting and forcing one's lifestyle as the only way to happy and productive life. Haven't seen it from you, so kudos, but the left in general does it a lot. And your interlocutor telling you to get a husband and have many children because married with children works for them (hopefully they speak from experience).