Heat or steam your splice ends and clamp them together tightly without glue, they will mate well after this procedure. As for alignment; after gluing put one clamp in the middle of the splice, align the limbs with a string end to end and apply two more clamps, one on each end of the splice.
I have a post on the end of my workbench I use for alignment. I put the splice between the vise and the post, put one clamp in the middle of the splice and align the bow with shims between the bow limb and the post. This way once you get alignment nothing is moving while you apply more clamps.
Here is a stave in vise/post arrangement, not a spliced one but you get the idea. I straighten raw staves side to side with heat and the same arrangement. My vise swivels so I can put the stave on one side of the post or the other. The post is also a good stave support for serious draw knifing or rasping.