Repeat,
I like your metal jig you have. I'm just using 1"x2"s for now!!
The first cut / glue is easy, nothing to align. The second cut gets more complicated.
On your top picture, it looks like the left half could be moved up a bit to make the inserts align.
Putting some shim stock under the left half will remedy that, pushing it up and aligning the insert.
I have a bunch of pre-cut shims ready and waiting when I glue things back up.
And I will always pre-assemble dry first to see how many shims will be needed and where they go.
Once I get everything all lined up dry, I take it apart, glue it up and re-assemble.
You can also make small adjustments by changing clamping pressure between the end clamp and the side clamps.
All in all it looks good.
Keep good notes on what you do, what works and what don't work.
The thickness of the insert definitely has a lot to do with how it goes back together.
What are the two woods you used? Just curious.
Mark