Yeah dude, you've easily got the strength. You just need to refine the technique.
Here's Ryan's explination for drilling the top part of wall climbs: http://www.americanparkour.com/content/view/181/407/
That's what you seem to be struggling with. Try to keep both arms equal when pulling yourself up aswell, don't rock from one to another.
Thanks for the tip! But I do think whether you top out with both feet on the wall or with one foot while swinging the other through is all based on preference and the situation. They're both similar speed wise. The only advantage I can really see to both feet is if you were to precision directly after your climbup. I can do both, but I definitely feel like I think about it a lot less when I do the one foot thing. I do have to keep drilling the other one though, so thanks for the reminder.
As for the arms being unequal, I'm not sure what you're referring to. At the end of the climbing part I went one arm at a time because I'm not a huge fan of heights and that felt a lot safer, but during the part where I was drilling just the climbups I didn't think I was, was I? It's hard to tell from the video, but I didn't feel like I was.