Their radar is down and they are blind as bats. Now for the Mammoth factory itself. First we have to disable the power grid which keeps their base defenses running. There's a Forward Command Post overlooking the base which regulates it. Get your spy inside to set the power to overload and cause a blackout.
At that point our birds will swoop in and drop reinforcements inside the base. Get the field marshal inside the technology center to grab the blueprints and defend the center until they are secured, then evac him via helicopter.
You also need to set up your own base across the river at the same time. The bridge is the only access point so build an MCV and get it across ASAP before the Soviets take it out. The last objective is to take out the waystation to the west. Once the Soviets have detected your presence they're going to throw everything they've got at you but you might be able to commandeer some Mammoths stockpiled in the facility to help keep the enemy at bay.
I'm not going to lie, this is going to be a tough one. Godspeed, commander.