Has anyone worked or is currently working in a Security Operations Command? How can I operate it efficiently?

I am not sure of your manpower. This recommendation is based on my experience securing a 2x7 mile oil refinery.
I would suppose that you want a top-notch long-term performance throughout the shift from your team. This is setup for an 8 or 12 hour (we used 12) shift.
The photo below is what I would recommend for a watch center as shown in your photograph.

Each Shift, Ten people - Two supervisors and eight personnel in two man teams . I also recommend LCpl Donald Faucett's comment below, "No food or drinks permitted. Raise the desktops and remove the chairs."
1. Run your folks in shifts in front of the monitors on the numbers large group monitors have one person in front of each.
2. I would switch the personnel in pairs of two left to right, from station 1&2 over to stations 3&4, after 1 hour minutes at each pair of 'main' screens to keep 'fresh eyes'. Then the screenwatchers would rotate 'out' to the Patrol/On-break Teams. Three Area Rotations per shift.
3. Using your photo you should have four screenwatchers on duty with two personnel on breaktime and two personnel acting as a team roving patrol.
4. The above rotation would allow for a immediate backup of one team (the team on break) after returning to the screen center for face-to-face and get in-the-know leadership.
5. I would have two watch supervisors that were not on screen stations- one to command the security center at the CMD (command screen) and one to lead the backup team.
6. Practice, Practice, Practice your immediate action drills.
7. All teams should be cross-trained and every shift should be trained the same and checked by two pesonnel - Officers that have the 'Authority to Enforce' corrections and make changes that are 'outside of the watch shift structure'.
8. Recommednations on "force level".
a. Two overall Officers/Commanders
b. Six Supervisors
c. Twenty four Screen Watcher/Patrollers
9. The 'off-shifts' are never off-site.
a. The 'after-shift' (the two supervisors and their six personnel), that were used as the IRF (Immediate Reaction Force, two 4-man vehicles).
b. The 'next shift' (the two supervisors and their six personnel), were sleeping 'on call' and were the SRF (Support Reaction Force, two 4-man vehicles).
10. This structure provided for 372 days of 24/7 security which handled 190+ incidents of which the IRF reacted eight times with the SRF being bounced out twice.
11. No penetrations, No casualties (ours anyway) and No Lost Production.

Hope this helps.
Use what you know.

No food or drinks permitted. Raise the desktops and remove the chairs.