K, maybe this did help you and fix you and i'm happy. However this isn't your issue.
I see 2 things right away in those vids that almost MAKES you throw it away no matter how hard you try not too.
1) Face on vid: You have my old issue i have talked about before. Axis tilt at the top of the swing and BEGINNING of the downswing but none through the ball. When this happens you are so far "ahead" of the ball (whole body) you will push this thing so far right and fade it you'll be like "what the hell was that?" So, you have to, as brian says, find a way to eliminate that BY FLIPPING AT IT. So, keep that right shoulder going more downplane and remeber that the swing goes left after impact and combined with impact hand location you will be much better off.
2) Down the line vid: This video doesn't look like you have the issue above. Why? Because your right shoulder is going downplane to the ball, the only way to do that is if you have some sort of tilt. BUT what's the issue here? You are swinging too inside/out at the ball and are under plane a bit. How do i know? Because your shoulders are almost completely square to your target line in that video, they need to be much more open. So what happens when you swing too far to the right with the shoulders not far enough open at impact? YOU HIT A BIG OLE PUSH SHOT! So how to get that that thing to come back to target
![Wink ;) ;)](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
THE FLIP!
Also, keep in mind that BOTH of these issues are related to each other. The more you lose your tilt through the ball the more the club drops underplane (usually for a better player). So learn to keep your tilt and PRACTICE with a plane laser or something attached to the butt end of that club to keep pointing more at the plane line.
I promise once you get both done "right" you'll know it cuz it will go higher/longer/dead straight without any effort at all.