1450 watts for 6 minutes will not drain 2 deep cycle batteries.
Round up to 2000 watts to account for inefficiencies in the AC/DC conversion, and your inverter will be drawing about 170 amps (2000/12 = 166.66). I just checked Interstate's website, and a cheap group 27 has 180 amp-hours of capacity. By definition, that means it could run your coffee maker for a little over an hour. Even following the 50% discharge rule, you're good for 30 minutes, and you have TWO batteries that are most likely much better than the one I looked up.
It will work just fine. Use thick cables to the battery.