Seems to be correct, a few question just to be sure:
The ground of the arduino board and the motorbike are connected?
The arduino tx go to the L9636 tx? (them don t have to be swapped)
Are you sure the L9636 is in the right position? The position of pin 1 is decided by this little line
https://postimg.cc/bd7471rj
If all of this are correct we should wait for the logic analyzer and then put a voltage divide to the k-line and check it
By the way in the future I suggest you to use adapters like these for the not-DIP packages, i bought a few of these with various size and them are perfect
https://images.app.goo.gl/FDRybwevtFbtuHGN6