No, you don't want this stuff. The Nevada Dept. of Forestry would rather battle a sagebrush fire than a cheatgrass fire. In Nevada, you can be fined for not getting rid of it.
There was just a piece on the evening news talking about the newest weapon in the cheatgrass battle - herds of goats!
Edited to add: Oops! Sheep - a flock of 650 of them. They eat 40 TONS of grass/sagebrush ... a month!