If White has the ladder, then this can work (

connect).
$$W Will White capture black stones?
$$ ---------------------------------------
$$ | . . . 3 . . . . . . . . . . . . . . . |
$$ | . . O X 5 . . . . . . . . . . . . . . |
$$ | . . O X 2 O . X . . . . . . . . . . . |
$$ | . . O X O 4 7 . . , . . . . . , . . . |
$$ | . . X O X X . . . . . . . . . . . . . |
$$ | . . X O O 1 . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$W Will White capture black stones?
$$ ---------------------------------------
$$ | . . . 3 . . . . . . . . . . . . . . . |
$$ | . . O X 5 . . . . . . . . . . . . . . |
$$ | . . O X 2 O . X . . . . . . . . . . . |
$$ | . . O X O 4 7 . . , . . . . . , . . . |
$$ | . . X O X X . . . . . . . . . . . . . |
$$ | . . X O O 1 . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . . . . . . . |[/go]
I'm pretty sure there is a better way though, just, it's late right now so...
Edit :

in your last diagram is wrong. Instead :
$$W Capturing race
$$ ---------------------------------------
$$ | . . 1 . X . . . . . . . . . . . . . . |
$$ | . . O X . X O . . . . . . . . . . . . |
$$ | 5 3 O X X O O X . . . . . . . . . . . |
$$ | . 2 O X . X . . . , . . . . . , . . . |
$$ | . 4 X O X X O . . . . . . . . . . . . |
$$ | . . X O O O . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$W Capturing race
$$ ---------------------------------------
$$ | . . 1 . X . . . . . . . . . . . . . . |
$$ | . . O X . X O . . . . . . . . . . . . |
$$ | 5 3 O X X O O X . . . . . . . . . . . |
$$ | . 2 O X . X . . . , . . . . . , . . . |
$$ | . 4 X O X X O . . . . . . . . . . . . |
$$ | . . X O O O . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . . . . . . . |[/go]
Big eye, you win the capturing race (if

at

, then

at

and you have even more space.
Instead, if B attempt to set up a ko, this

thwart him (changing the order for

and

is also possible, but that's a needless sacrifice.
$$W Capturing race
$$ ---------------------------------------
$$ | . 6 1 . X . . . . . . . . . . . . . . |
$$ | 5 . O X . X O . . . . . . . . . . . . |
$$ | 4 3 O X X O O X . . . . . . . . . . . |
$$ | . 2 O X . X . . . , . . . . . , . . . |
$$ | . 7 X O X X O . . . . . . . . . . . . |
$$ | . . X O O O . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$W Capturing race
$$ ---------------------------------------
$$ | . 6 1 . X . . . . . . . . . . . . . . |
$$ | 5 . O X . X O . . . . . . . . . . . . |
$$ | 4 3 O X X O O X . . . . . . . . . . . |
$$ | . 2 O X . X . . . , . . . . . , . . . |
$$ | . 7 X O X X O . . . . . . . . . . . . |
$$ | . . X O O O . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . . . . . . . |[/go]
Edit 2: As an aside :
$$W Ko fight?
$$ ---------------------------------------
$$ | . 5 4 . X . . . . . . . . . . . . . . |
$$ | 6 . O X . X O . . . . . . . . . . . . |
$$ | 7 . O X X O O X . . . . . . . . . . . |
$$ | 3 . O X . X . . . , . . . . . , . . . |
$$ | . 1 X O X X O . . . . . . . . . . . . |
$$ | 8 2 X O O O . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$W Ko fight?
$$ ---------------------------------------
$$ | . 5 4 . X . . . . . . . . . . . . . . |
$$ | 6 . O X . X O . . . . . . . . . . . . |
$$ | 7 . O X X O O X . . . . . . . . . . . |
$$ | 3 . O X . X . . . , . . . . . , . . . |
$$ | . 1 X O X X O . . . . . . . . . . . . |
$$ | 8 2 X O O O . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . . . . . . . |[/go]
The J-group is sente (though I guess it might be a ko if the surrounding group isn't alive).

is wrong, and should be one line below (descent rather than tiger mouth). Then you can avoid the ko, because Black must give you a four space big eye, and so you win once again the capturing race.
Edit : there are also possibility of winning by double ko, I think. But it's getting very late around here.