I'm currently using a 5V 2A power supply; not sure if it is appropriate because some answers say that the max safe current is 1.2 amps. I'm a little confused about this. Is it safe to use my current power supply?
Yes it is safe. The raspberry pi will only draw the current it requires. I use a 1.2A power supply and my raspberry pi draws only 0.53A while running a stereo vision algorithm in the background. This is what i used to test it:
A higher ampere rating on a charger would give you more flexibility such as when adding more usb type peripherals such as a Mouse, Keyboard and Hardrive. The official raspberry pi charger itself is rated at 2A. I am using both chargers, one each for Pi (I have 2 Pi's).
It is absolutely safe, though you might not need 2A all the time. It depends on number of external devices you have attached to the pi. For example, when I was running pi headlessly along with 2 wifi adapters, I could see current drop intermittently on any one of the adapter. I was using 1A or 1.2A power adapter then. The problem got resolved when I used 2A power adapter.
The big issue mostly is people trying to run peripheral USB devices that try to draw a lot of power thru the RPi....solution is to use a powered USB hub which will provide power thru its' own power bus and not the RPi....the creator of wall warts should be tried for crimes against humanity :)