Indepth review needed
(pretty please)
I think this has already been discussed, and I've commented, but unless you can set up your own garage/cellar gym, you just have to deal with it. While it might not be nice, I think it can in the long run be useful for building a tougher mental attitude. You are going to get judged throughout your whole life, and you its important to build up confidence, so that you can ignore the possible stares and comments, and know that you are doing what you want and what is good for you.
1.) Go to the gym with a plan; knowing what kind warm up, what exercises, set&reps etc. you are going to do will help you feel and look more confident.
2.) Ignore everyone else as much as you can, unless you have to ask someone if they are done with certain equipment etc. I get people staring at me and sometimes commenting to their buddies (a few nice guys have come to talk to me a bit, usually old ones that are confident in their manliness and not put off by me squatting the same as them, I imagine lol) whether in scorn or admiration, I don't care. If they want to come talk to me (insults would be dealt with swiftly, but polite chitchat is fine), then I acknowledge them, but otherwise I'm focused 100% on the barbell in my hands.
If I miss a lift, then I don't make a big show out of it, but after a pause of thought move to correct the situation with perhaps taking some weight off, or doing my next rep with extra concentration on a certain technical aspect of the lift etc.
Just keep going to the gym and training, and with hard work and some time you'll be probably outsquatting all of them, and doing respectable weights on other lifts, showing that you belong there.