This bush has branches ranging from 2′-8′ long and is covered with a very fine and soft green leafs.
Can you tell me what it is?
This appears to be a young tamarisk or salt cedar, which is indeed a delicate looking shrub. However, it is actually a bit of a thug and is earning a poor reputation because as its nickname suggests, it secretes a salty essence that is harmful to other plants. For this reason, it has been declared a noxious weed in several states and has been warned against in some provinces.
For further reference, see: https://www.natureconservancy.ca/en/what-we-do/resource-centre/invasive-species/salt_cedar.html