I used to love Menudo ..but have since eliminated any part of porcine from my diet, so that kinda sucks
I make the Mongolian Lamb the same as you would with beef.. the trick is in slicing the meat very, very thin and not overcooking it.
I make a simple sauce with some soy, corn starch, sugar, fresh minced/mashed garlic, red pepper flakes or chop a whole chile, and a little water to get it consistency (but you want it to lightly coat, so... )
Let the sauce stand while you slice your partially frozen (makes thin slicing so much easier) chunk of lean lamb. You can slice into wide pieces or little "julienned" pieces ..up to you ...DH likes it wide and thin. Slice up a couple or more carrots, not too thin ..not too thick. Cut the whites off about 6 or more scallions ..slice those in 1" pieces or better; and slice the green tops the same way ...keep separate! You can add nonsense mushrooms or Crimini ..or whatever you like, but not necessary. (I like mushrooms, so I do)
Put the sliced lamb in the standing sauce and let it marinate for half hour or more.
You can start your rice now ..and/or other veggies, etc.
Heat some oil (peanut, canola, veg ..up to you) in a large skillet or a well seasoned Wok, and toss in your lamb. Move it around quite a bit, for 1 - 2 minutes ..remember, it's thin and is going to cook uber fast ...remove and set aside. Toss in carrots and white part of scallions now ..toss around a bit... and add lamb back to Wok. Move this mixture around for another minute and then add the sauce and green part of scallions. Toss the whole thing for 30 seconds or so and remove from heat!
Serve this over steamed Jasmine rice ..or short grain, if you prefer the "sticky" effect ..and a side of steamed broccoli, long beans, snow peas, asparagus or whatever.
Depending on your threshold for heat, you can add or eliminate the chiles. Personally, I marinate and cook with a few whole ones in there ...then remove almost all of them before serving. It's not so nice to bite into a whole chile, if you can't handle it