Is it okay to go to the Lincoln Memorial in the middle of the night?

Me and my friends (15-18 years old) want to go around 12-2am just to see what it's like. Maybe even go to other monuments. There's 4 of us and we have a car so I think we'll be safe, and I know that it's technically open 24/7 but I was just wondering what it's like at that time of night and if we'll get kicked out or something because we're teens.