Since the question's tagged 'discussion', here's my two pennyworth. As usual, anyone who disagrees is invited to downvote and/or post a competing answer, rather than comment that they disagree.
The review queue was brought in because, across the SE network, not enough people were reviewing (in the opinion of TPTB). It is certainly true that this site is more liable than most to posters thinking 'I've studied English for a month now, I'm sure I can answer that/I can post a question here rather than ask my teacher.' Encouraging high-rep users to take control of the basic site management looks like a classic 'nudge' strategem.
It is not, however, obvious that the cure is better than the disease. Almost any post is the better for being reviewed by somebody interested and expert in the area; but (as I've said elsewhere), nobody is expert in all areas, so a review from somebody who knows nothing about, for example, American English, but has gained rep in other areas, may merely exasperate the OP who does know something about that area (which is why he thought of the question). And why the blazes should the fact that one person has voted to close a question you didn't think worth looking at mean you should suddenly have an opinion on it? But if you do vote (either to close or not), you get a step towards another badge. Looks to me like this encourages precisely the wrong behaviour.
For the record, I don't think the reviewing here is worse than other sites; considering the volume of poor material and the inevitable subjectivity, it's better if anything. But there's no denying that it is perceived as arbitrary and oligarchical, and that the queue system worsens that.
So might we suggest to SE that the review queue could do with a new review? Recognize that 'Skip' is a helpful response (whether that means deciding not to review counts towards a badge, or removing the reward for changing something just for the hell of it); put in your review queue only questions where you have a badge for the relevant tag (obviously you could still choose to look at others); whatever you yourself think would be an improvement. Rather than 'upvote or downvote' the review queue, I'd like to suggest some edits, and the more we can agree on the likelier we are to be listened to.