I think it's probably a mistake on any topic to conduct or not conduct research based on what's most useful to a particular side of an argument. Especially in this case, where the party split in the poll results suggest reasonable debate on this issue is yet another casualty of partisan culture war nonsense.

It's not like people aren't aware of the environmental arguments around red meat production. Deliberately ignoring research on that front to avoid triggering people concerned about a red meat ban and to make a better argument for people who want to reduce red meat consumption seems just as likely to backfire, leading people into believing they're being manipulated into supporting what's really an environmental argument with the Trojan horse of health and economic reasons.

Laying out all the facts but focusing the actual argument on the most relevant ones seems like a much better strategy. I personally have been cutting back on red meat for health reasons and because, while I can afford it, paying that much for beef is annoying when pork or chicken fits my cooking needs just fine for much cheaper. But I still find it useful to know that choice also has a positive environmental impact, even though that wouldn't otherwise be a deciding factor for me and certainly wouldn't be justification enough for me to support banning red meat. In fact it seems like a strong argument for caring about environmental things is pointing out to folks how there can be plenty of other reasons to do things that also have environmental benefits.

I think we have a serious problem with people being and acting stupid. One way we can improve that state of affairs is stop treating them as if they are stupid and that's what we expect of them.