Sorry but your proposal sounds like an RPG server. People have a lot of fun roleplaying realistic characters in realistic scenarios - the mall rats had the name for a reason, that always ruined the fun for whoever was in the area(got my car stolen more than 5 times from there even though the place was in the middle of the city and realistically no one would steal a car from a place like that, countless fights, people just messing around), and it created this 'bubble' of middle to low roleplay, which eventually affected the server's reputation.
The whole purpose of LSRP is that here people have a high standard when it comes to roleplay, compared to other communities or servers where players want the 'fun(which is not fun at all) part. Lack of roleplay would basically label LSRP as a middle to low roleplay server where people can mess things up - that's why people who acted like that always got punished. I remember when I was an admin that I caught this group of 4 guys in a car basically killing people at 6AM for no reason, and when I questioned them they simply said 'we just wanted to have fun', which, to me, makes no excuse to their behaviour.
As someone else said above, the definition of fun can vary from a guy to another, that's why we have a variety of factions and groups, where some are more character development oriented, where others are oriented to making money and have fun like you said (brawls, etc.). I think that we have the right balance between fun and realistic environments. Mall rats will always exists, and it's OK because it creates the proper place for people who want to 'have fun' to have a place for that, but for the rest of us I believe we would want to keep it classy and realistic. The mall had an RPG feeling around it, because those people barely did any proper roleplay or had any intention to pursue a development of a character - they all had expensive cars and fancy clothes and went from a club to another, had some 'fun' and that was it. I was a mallrat when I started here because I had no idea what to do, so it's OK to hang out at first when you don't know anyone and you look for any roleplay to exercise, but after a while I joined a lot of factions and changed my attitude when it came to roleplaying.
tldr: LSRP is a high standard roleplay server, the 'fun' part that you're describing sounds a lot like an RPG server which I doubt anyone will want to have here - 'fun' means something else for everyone of us, and I think that more than 50-60% of people here are for quality roleplay and not DMing people.