http://thps3.net/pushover_wip.zip
This contains the .smv with the levels 1-40 being improved. About 1/3 of the levels had to be redone, half of that was from Burning Death's discoveries, the rest was improving the end door, as walking from the left or holding against a stopper that's on the right side of the door triggers an extra motion causing about 10 frames delay. (This, however, tends to vary. In fact, there seem to be many random frame counts near the end of most levels. Therefore, I can't guarantee that all levels have been exited as fast as possible, although I'm fairly certain that I did my best. This game has a strange engine when it comes down to frames)
This video desyncs after level 51. Don't worry, that WILL be fixed once the 4x levels have been improved (Stupid door weirdness + possible better routes), but as strange as it might sound, this level sometimes worked and sometimes stopped working again in the progress of hexediting in some of the older levels. Except for #17 this is the only one that has ever desynced for me.
All in all I was able to improve the old version by 1136 in those first 40 levels, which is a whole lot for such a game. I knew that I wouldn't get the later levels perfect, but I didn't think I almost made 19 seconds of mistakes in the mostly straight forward first 40 levels. Hehe, thank you, Burning Death.