AZ,
Yes, the correct approach is to weld the shaft to the flapper.� Frankly, I'm not sure it could be done any other way.
The shaft rides in bushings that are pressed into the manifold. If the bushings or shaft are worn out, you will have a lot of play on the shaft/flapper, which may equal a small exhaust leak.� Note: It is normal to have some 'in...out' movement on the shaft, as the flapper is not super tight to the walls inside the manifold.
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If your shaft is tight and smooth as it rides in the bushings, I would not take it apart.
If you do need to take it apart, you can use a small cut wheel to remove the shaft from the flapper.
Tim� �