When the Moment first came out, I did a mockup (with string and masking tape), using the specs on the Tarptent website, and it definitely isn't big enough for me (5'3") plus my 80-lb. mostly Lab. I definitely wouldn't recommend it for two dogs, unless you plan to sleep outside! The Contrail is bigger than the Moment, but I wouldn't recommend that for two dogs plus a human, either. The single Rainbow (a 1.5 person tent) might work, depending on how much room your dogs take up when they sleep.
Consider that trying to put yourself plus two dogs in a solo tent will not only overwhelm the space designed for one but can also overwhelm the tent's ventilation system, also designed for one. I had this problem trying to squeeze my dog and me into a SMD Lunar Solo a few years ago. Space was OK if we were just in there to sleep, but pretty cramped when it rained the whole evening from 5-6 pm on! Condensation was also a really big issue.
I think you and your dogs will be far more comfortable in a 2-person tent. Tarptent's Squall 2 fits your weight criterion at 34 ounces and should have plenty of room. If you take care to put the back end facing the wind, use two front poles and add side guylines, it holds up to a lot of wind.
The previous poster's idea of a MLD DuoMid is good, too.