Not even close. What you have proposed is ideologically the same as taking a model and trying to make her prettier by adding parts from a fish.
In a 4x4 Ranger you have an engine cross-member and frame parts that are different from a 2wd, unless you are dealing with a Ranger Edge. You have different output shafts on the transmission between 4x4 and 2wd. Also, there is the issue of the front axle you would need to make the Ranger 4x4.
Now with all that in mind, your Escape is a front wheel drive vehicle. It has a transverse mounted engine, and a transaxle, with a power take-off unit in line with the passenger side axle shaft, rather than the longitudinally oriented engine and rear-wheel drive transmission of your Ranger, which would have a proper transfer case, were it 4x4.
The Escape adds a rear driveshaft, rear diff, and rear axles to add 4x4 to the base model, where a Ranger adds those items in the front. Should you manage to get an Escape PTU mated up to the back of your transmission your drive shaft would be at a 90* angle to the rest of the power train.
You need to use Ranger parts, or better yet go buy a 4x4 Ranger and sell the 2wd.