Look at it this way. Go cold turkey for 2 weeks, it's only 14 days.
For that time frame, gut it out and eat only good, whole foods, ditch the junk, and see how you feel. Track everything! Food, mood, exercise, weight variations, etc.
At the end of the trial, take a look at the "DATA"
It's information and nothing more, it does not make you good or bad, it simply gives you a frame of reference.
Take what you learn, adjust, apply, assess/reassess, the data, until you find your sweet spot.
You see, sometimes, we tend to take this to personally, on some silly journey to perfection, when, what we really need to do is relax, take a step back from immediate gratification, and try thing 1 or 2 or whatever, and track it and let the feedback point us in the direction we need to go!