use the Point Set command and change the Type to "Intersection Points". The rest is pretty discoverable.
This would be a good topic for a new thread in the programming forum. That said, I don't know that you will get many answers for GRIP, but it would be a fairly simple journal to program.
Here is a thread with a similar request:
This solution is not working for me. The 'Curve' selection field within the Point Feature definiton dialog, as well as the Point Set Feature definition dialog, is not allowing the selection of a 'Selection Axis' Feature nor 'Selection Axis' sub-feature. I am using NX 184.108.40.206.
Is this one of those features that has been improved in later versions?
Correct. This was not possible using the Point Set command in NX 8.5. Here's a side by side of NX 8.5 and NX 11 Point Set dialogs: