All interesting stuff, but perhaps not relevant, and certainly not correct from the point of view of a Wannabe sitting in Wisconsin.
In the US, your CP is not the ticket to any kind of paid flying career unless instructing/paradropping/etc floats your boat.
You cannot get an ATP in the US until you have 1500 hours (there is no US Frozen ATPL), so what most do is to progress through their CPL, a year or three's instructing, and then sit their ATPL exam and flight test (Yes there's an ATPL flight test in the US)
With your ATPL you now have the right to command an aircraft in Part 135 or Part 121 service, and you start to look half-employable. Turbine time adds to that employability.
To answer your question in brief, if you are going to train under the US system, you don't get a choice. You'll do your CPL first, then your ATPL once you've clocked up the hours.
2D