I'd start by asking if it's really your hill to die on. You never like everything about an employer (same as a friend, spouse, whatever), so the question is, can you live with it, or not. And if not, do you think it is possible, or worth the energy to change, or should you just move on.
1) Raise privately in your direct line of authority ("I am uncomfortable with...");
2) Build any possible consensus and raise publicly as a common issue ("We have noticed...");
3) Skip a level of management and raise privately ("A few of us on different teams have noticed x and I thought you would be the person to bring it to");
4) Don't comply.
Then think about which is the least intense intervention which is likely to be effective.
Try to reflect at every phase. Perhaps you decide that it's worth raising with your direct supervisor, but then not worth going any further. Also consider that order of operations matters and some actions will block you from using others later. A classic example is if you start with talking to supervisor (1), you will probably not ever be able to ignore the rule (4). Another is that starting with (3) could prevent (1), (2), and (4).
Finally, try to determine and neutralize the underlying perceived need. I used to work at a place that had a 5pm all-staff every month. At some point I decided that management would be unlikely to move the meeting to within work hours, so I tried providing a written work progress update to my supervisor and skipping the meeting (4). I didn't call out sick or make an excuse, I just said "I can't make 5pm this month, here is a progress report." It worked perfectly, so I started doing it every month. This strategy would probably have failed if I hadn't predicted the objection and solved the management concern.
Don't hint. State your problem directly. I'd do it in an email to your direct manager, and follow-up to make sure they are raising it up the chain. Start with stating facts. Then state how those facts impact your work and your well-being, or other concerns. Explain why you have a problem with it. If you have a desire to be excluded, state that request simply and directly after explaining your problem with it.
Doing this does not mean you will get your desire - but this order of explaining a concern is an effective way to communicate without it being perceived as anything other than a start of a dialogue.
If it's mostly just me, I would leave. I don't expect a company with many employees to take my moral standards into consideration.
- Not comply
- Start looking for jobs at other companies
- Get my concerns down in writing and email it to my direct manager
- Identify coworkers who are on my side or are likely to be
- Start a conversation with coworkers, encourage them to email their manager as well
- Elevate the issue to the next level of leadership if direct management fails to address the situation
- Repeat these steps until something changes or the CEO is fully aware of the magnitude of concern
- Quit without notice, tell coworkers exactly why I quit, and move on to my brand spankin' new job with better pay
By the way, you may be surprised at how many others will side with you when you speak up. Most people are afraid to rock the boat, so it can seem like you're an army of one, but when one person says something then it can give others confidence. It doesn't always work out that way, but it can. There have been times where I stated explicitly (and politely) why I disagreed with a proposed company policy, and then after the meeting (or Slack thread) I had coworkers sending DMs thanking me.
In any case, you're the most important factor in this. If you're unhappy and disillusioned enough, the simplest solution is to just quit.
If you're just uncomfortable then talk to your boss about it and ask nicely. That usually works, but if it doesn't there's always a two week notice (assuming this situation is too bad to ignore).
Best of luck. I hope things work out well for you.