Pretty clear that Trump relies on the big law/lobbyist firms. In Liu’s case, thats Morrison-Foerster, who also vets court picks for Diane Feinstein.
Yes, she withdrew her nomination for the #3 position at the Justice Department because she once belonged to a group that opposed Alioto's nomination to the Supreme Court.
I can't say that she's a rock-ribbed conservative, or not. I can say that A.G. Barr thinks highly enough of her to offer her the #3 spot, and Trump liked her well enough to make the offer official.
On the other side we have click-bait merchant Jim Hoft. Who is openly gay. (Good conservative values in a leader, there!)