There is no such thing as a "non-mod" flag. All unhandled flags reach the ♦ flag queue, albeit with different priorities.
The flagging system is essentially a private communication system between regular users and community moderators. It's a way for people to ask for help with issues they can't deal with on their own. While some flags may indeed enter a post in a review queue or two, that's more of a side effect, and certainly not the system's primary purpose.
Please do not use flags in an attempt to reach consensus through the review queues. Flags are private, you are essentially asking someone else to deal with the issue for you, and consensus doesn't really work without accountability.
The site offers a plethora of public moderation tools to regular users. Even at the early reputation levels, you can vote, edit and comment. You can also ask other regular users for help in chat or here on Meta. If consensus is what you are interested in, please stick to the public tools available to you. If the public tools aren't enough, then by all means flag. Just keep in mind that you don't get to pick and choose who answers your flag.