Whether you choose to acknowledge it or not, dairy and eggs still contribute to mass slaughter and suffering so your point about not killing animals on a your stated diet is a bit misinformed.
I agree that male chicks are being massively slaughtered after they hatch in order to get hens. For every male chick that dies, you get more than 300 eggs a year for a couple years. Hens are usually slaughtered too after some time because they get less productive.
My point was mostly that bringing ethics into any topic is something you can't do without acknowledging that people have different views on what's ethical.
At which point is it okay to terminate a chicken? That's a very debatable topic, same as abortion.
What is not up for debate is the carbon impact of various diets. That's quite easy to measure, and much more objective.
Don't force anybody please. As for moral ethics, those are really different depending on where you come from, your current outlook on life, etc. Ethics are not universal. I'm personally 98% vegetarian due to the lesser ecologic impact. It's also healthier, not killing animals, and has a lot of side-benefits. But don't assume the reason you specifically picked will work for everyone.