There are several facets to this topic, and it's very efficient to address them all under the auspices of a safety commitee, with formal structure and leadership, and specialty teams.
-EMT type stuff. You want people to know what to do when someone keels over in the middle of a service.
-First aide type stuff. Someone with training who can adminsiter epi-pens, band-aides on boo-boos, and even a defibulator.
-Fire protection. Regular walkthroughs to identify and eliminate fire hazzards, and even a fire drill during a service.
-Property security. How the offering is secured. How deposits are made. Theft of church assets (usually AV equipment)
-Non-custodial parents showing up at Sunday school wanting to take their kid away.
-Child abduction.
-Removal of unruley and disruptive people.
-Wacked out ex-hubbies/boyfriends coming to where they know they can find and hurt their love interest.
-Profiled hate type violence targeted against the congregation as a whole or high profile leaders in specific.
It is a big, all encompasing issue and I'm surprised that a church of 2,000 doesn't already have their ducks in a line.
AS WITH INDIVIDUAL SELF DEFENSE, PREPERATION AND TRAINING ARE YOUR MOST IMPORTANT TOOLS.
Things that can be very helpful....
1. Managing access and egress (which can mean locking certain doors, or posting "ushers" at them.
2. Communications.... the little siver haired saint that runs the nursery down in the lover level needs to be able to call for and recieve help very quickly. We use walkie talkies and pagers.
3. People assigned to watch certain areas (or people), and a team leader to rove around.
4. Make full use of active members with LEO backgrounds.... but don't just pawn it off on them and say "were covered because Joe's a cop"
5. Meet with your Sherrif or Chief of Police to go over your plans and share your concerns. It is very helpful to have them visit your facility and to become familiar with it.
6. Security cameras are expensive, but nothing else will make a greater difference (say if a child is abducted) than if you have a license plate on camera. It can also be a vital tool in prooving that you're people acted appropriately.
The need to address these threats are very real. I attend a congregation smaller than yours and two of our pastors have had death threats... with one of the threats extended to "burn" his children. A neigboring church down the road thwarted (by dumb luck) an attempted abduction of a young boy. If your church takes a Biblical stand on any of the hot button issues of our day, you can be assured you are in somebodies cross hairs.