I currently use alarm.com services through front point security. Is it possible to use the existing equipment I have and utilize your services.
It certainly is. Unless you are unhappy with the particular control panel at your location, maintaining the current equipment is a good solution.
You will want to verify that you are not under contract, (or work that out with the current provider) and that you own the equipment in question.
For service through suretyDIY and Alarm.com, you will need an unlocked cell module. (Alarm.com is no longer allowing set-up of 2G modules for new accounts, so it will need to be a 3G module)
You can find all the information on how to switch here.