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How can a user avoid the auto-alignment behavior when placing dimensions or annotation in NX drawings?
Solution
There are 2 solutions to this question.
1) To TEMPORARILY disable this behavior:
Hold down the <ALT> key down while you are placing the annotation.
2) To disable this behavior in current and future sessions:
During your session you need to set Auto-Alignment in the current dialog to OFF and this setting will be written to your dialog memory and recalled next time you access the dialog.

Also Note:
Menu --> Preferences --> Drafting --> Common --> Workflow --> Preview Alignment --> toggle OFF Dynamic Alignment in Global Selection to control the auto alignment of EXISTING annotation.

Notes and References
Hardware/Software Configuration
Platform: INTL64
OS: window
OS Version: 1064
Product: NX
Application: DRAFTING
Version: V1847
Function: DIMENSION
Ref: 001-7498945