Whisk the hoisin sauce, water and chili garlic sauce in a small bowl and set aside.
Slice the steak into three long strips (lengthwise) then cut into this 1/4" pieces. Have all of your veggies and ready in place.
Meanwhile, preheat a wok or large skillet over medium-high heat.
Add 1 tbs of oil to the wok and heat until just smoking. Quickly cook the steak until browned on all sides, about 2 minutes, working in batches if needed. Remove from wok and set in a bowl; cover.
Add the remaining oil to the pan. Add the the broccoli, carrots, mushrooms, and pepper. Cover and cook 3 to 5 minutes, until tender, stirring often.
Add the ginger and cook 30 seconds until fragrant.
Stir in the hoisin mixture and cook 1 to 2 minutes, until thickened a bit.
Stir in the meat and and juices. Add the kale, cover, and cook about 2 minutes. The kale should be slightly wilted, but still bright green. Toss.