If you're on Recursion, RP is generally at Camon C though it has its times where it's rather vacant, there are other moments when I've seen upwards of 20 or 30 people gathered together there RPing out of the blue - it just matters what players are online, which aren't, and where said players are at the moment. Syntax is Tabor W, I guess, but I haven't been there often enough on my Syntax character to really know or engage. A good number of the factions out there you could join are condusive to RP, and you're likely to run into at least a few other RPers in there. I'm a member of The Trust on Recursion and we're a full-on RP faction, so we have a lot of RP. Past factions I've been a part of, such as The Kings of Never were always supportive of it, and if members were not active RPers, they would throw their hat on and help out or go along with plotlines when they presented themselves. So I'd say the best way to get into RP and get to know people is to join a faction of your choosing. Each server has their own Crew & Faction Recruiting section where different factions describe themselves. Having somebody to talk to on the faction channel is a great plus while you're running missions, too!
But yeah, due to its vastness, it's unlikely that you'll run into a large group of players at a random location somewhere in the city. You might run into one or two running to their own missions, but you're not going to run into a Mara C sized crowd ready to RP out in the wilds.
Grinding missions is probably your best way to advance. They're fairly repetetive, but once a week (usually on thursdays) a new mission which continues the ongoing plot of The Matrix Onlnie is released for each organization. There are also contacts scattered throughout the city who you can talk to who will have a set of subplot driven missions for you to complete for them. And, additionally, the old plot-based missions can be purchased from the organizational archivist vendors in the city, and after completing all three subchapter missions for all three organizations or completing four full-chapter sets for one particular organization, you can earn a reward.
There are also live events which occur on a daily basis during the weekdays (one on one server one day at a time) during which liaisons (click the check mark at the bottom right of your UI in-game and click "World Events" to see who your server's organizational liaisons are) will bring players into contact with characters from the storyline to partake in an operation or something which has a bearing on the evolving story. Liaisons are full-on RP members of the community who represent their particular organizations, and if RP is what you're looking for, the liaisons certainly ought to be able to offer some interesting communications.
Hope that helps.