There's better and worse ways to do this, but in the end wood is just inherently unsuitable for things of this size.

Any screw needs to "grab" onto the side of the hole it's drilled into, when that screw is going through a cylinder that looks to me 1-3mm in diameter it'll only take so much force before it'll snap.

And that's assuming that you get lucky with the material, you might run into a knot in the wood, in which case it would just fall apart without any force being applied to it.