Pushing down may seem tempting but think about it..lowering the nose == lower angle of attack == less lift == less drag and much more speed!! These are all the things you dont want when trying to land, basically be prepared for a float /balloon fest.
Feel free to
think about it as much as you like.
In real life, however, in a 152 or 172 with full flap you can shove the nose down quite a long way and you get lower but you don't get much faster, in particular it's dead easy to get a
lot lower with no significant risk of getting faster than the flap limiting speed.
There has been considerable discussion as to whether or not this results in a pretty approach (and I would agree that it doesn't), but nobody who has tried it
in those particular aircraft is claiming that it doesn't work. Because it does.