If you have to ask, you are not readyCrotched,
I had skiing that looked worse than that last year and was told there was no way I could pass without a full season of work to fix my issues. I passed (skiing only) 7 weeks later. Sometimes you need to acknowledge the truth, sometimes you just need encouragement and good coaching. It all depends on how much preparation you have done and what kind of coaching you have available. If you are ready to pass, you'll know the difference. The reason Pierre says no is that the majority of the failing candidates are in shoes similar to yours. They have not done enough preparation to be able to make subtle but very fundamental changes to their skiing quickly. We can't look at this clip and say for sure that you can't pass in March. But we can look at it and say that at least 8 out of 10 skiers we see who ski this way won't make it with only 4 more weeks of practice. My guess is that you know you are close.
I met many candidates last year who were great skiers (far better than this clip and far better than my own in many ways) who did not pass. The PSIA-E exam prep guide lists a bunch of drills as possible exercises on the exam. Candidates who have taken prep courses and asked the right questions understand that the skiing exam is more than those drills. But the drills are a big step towards passing. Candidates who know they will pass have discovered the difference between being able to do the drills and being able to easily do all of the drills. Once they are able to easily do all of the drills, they will own the movements that will let them pass the "unadvertised" (mind you that most of these are "d'uh" tasks like wedge turns, christies, open parallel/ GS turns/ easy and hard bump runs) tasks that make up the bulk of the exam and define the kind of skiing that examiners are looking for. Candidates with great looking skiing that relies on subtle cheating of some of the movement patterns will find that some of the exam drills are difficult to do and often fail for reasons they don't understand and often feel aren't fair. But the bottom line is that it if you don't own the movements, the results show up in the visual cues. That's what the examiners score on. Candidates who "own" the movements find that they pass the exam even when they have a "bad" day on snow.
If you want to make sure that you will pass the exam, you need to do more than just be able to ski good. Good skiing is just the starting point for beginning the preparation process. Mastering the drills is only the beginning of the process. That just eliminates the easy faults that automatically flunk you. Full preparation for the exam involves things like displaying pizazz in your turns (one of those things you know when you see it), mastering multiple methods for bump skiing, being ready for all conditions, knowing what the examiners are looking for in each task (pro and con), being able to put things in and take things out of your skiing at will and being able to ski "tasks" (hear it, see it, do it).
If you are already signed up for the exam, my advice is to do White Pass turns until your skis break but make sure you have someone who can tell you if you're doing them correctly. If you're thinking about signing up, my suggestion is to wait one more year, get at least two more prep clinics in (one of them preferably being pro jam) and beat the crap out of all the drills in the meantime.
I'll leave you with a scary thought. In part 2 of the PSIA-E level 3 exam (teaching and technical knowledge), every candidate is expected to make significant improvement in their fellow candidates skiing. As good as your skiing needs to be to pass part 1, there is still plenty of room to keep getting better.