I gotta say, I don't want random people at my wedding.
What do you mean by random people?
People that I personally don't know.
It's completely understandable to not want to have strangers at your wedding. With it being your wedding you have the right to exclude people, you should try to figure out if these strangers are friends of your friends and see if that's why they were invited. If you just out right exclude them, this could upset your friends.
I'm sick of my friends pretending to be friends with people that they don't like, just because they want to get a plus one. Also, now I have to pay for two extra guests.
You are allowed to ban anyone you don't want to your wedding, and you should tell your friends that. It's your special day after all.