Hello @lbellino4
You're confusing WCS and UCS or World Coordinate System and User Coordinate System. The latter is, as the title suggests, is a coordinate system determined entirely by you, the user (red, green and blue axes), whereas the former is permanent (white with a small square at the intersection of the x- and y-axis) and is invisible unless you're at TOP view in 2D wireframe mode.

UCS icon.
World Coordinate System (WCS) icon is visible from top view, 2D wireframe. mode.
<<HINT: the small white square at the x/y intersection is a dead giveaway when making sure you're viewing a WCS icon.>>
You can't delete, move or rotate the WCS. You can, however, create another coordinate system called a UCS where you can pick the origin, rotate it, move it, and apply to different views. You typically create a UCS to establish your working plane. You can establish, more than one UCS in your drawing. You can even apply a different UCS to each individual viewport regardless of how many VPs you have on a layout tab. To keep track of multiple UCS's, AutoCAD allows you to name each UCS.
You can switch back at forth between WCS and UCS at will.
The UCS can be temporary or permanent. If it's permanent, you can still choose to delete it at a later time. The UCS allows you, the user, to control your working plane.
The icons you've circled in your opening post is not the WCS icon, its your 'working plane' icon or your UCS. Don't be alarmed, your WCS, the global coordinate system in your drawing, is not moving.
Chicagolooper
