It all depends on your courage to sport a really short cut.
If you check around the posts, you'll find some (like Teejay above) that have chopped it all off after just a couple months. (I think they look great!)
Some just keep getting it trimmed until the natural growth has reached a long length, then they cut off the relaxed ends.
Some of us, like me, wait around a year before cutting. I have mostly 3C hair, and I actually waited 14 months before cutting off the relaxed part. (I just did this last Saturday Jan. 17.) That way, the new growth (which is about 7-8 inches long) is still long enough to put up in a poofy ponytail. The best part is now I'm almost tangle-free and it takes so little time to style.
If your two textures are totally driving you crazy, think of your lifestyle. (Am I physically active/work out a lot? Do I have time for my hair/schedule/school/work/family...? How much am I willing to spend on my hair?) Also, I hope you have or find a stylist who completely understands, not just your hair type, but your head/face shape and your routine.
...OR NOT TO CUT?
However, if you're still not sure, you might want wait a while. In the meantime, experiment with different hair products, accessories and styles to achieve a manageable look.
Let us know what you decide.
Have a beautiful day!