The gusty section can be tough to navigate but the following GIF will give you an idea of how to get through it:
The foam at the beginning of the second screen can be cleared with some easy egg shots that act very consistently. The first egg shot is a neutral that's fired as soon as Yoshi comes out of the pipe. The second shot is a neutral that's fired immediately after Yoshi runs off the foam he just shot through. The third shot needs to be angled straight ahead but will generally carve out the pattern you see in the following GIF. The fourth shot is a neutral that is fired as Yoshi crosses the second-to-last patch of foam that remains from what he just shot.
Make sure to hold Y to run with super baby mario. Jumping on downward slopes increases super baby mario's speed.
This is a very difficult level. The gusties can be difficult to navigate until you have a good pattern down, and even still the triple gusty wall can be scary.
In the cave, there is a series of challenging egg shots. Consult the gif below for ideas on how to do it quickly.
It's faster to skip super baby mario, because you need to fire eggs at the bottom of the baby mario section.
Watch the video below for help on the rest of the level.