How do I displace a plane and a mesh similarly using a displacement node?

Support Materials and Textures
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Hi everyone,

I am trying to solve a problem that I am sure is an easy fix, but I am not deep enough into Blenders texture nodes to see through it. Hope some of you can help me out.

So, I have a character that has a mohawk consisting of a plane and outlines (strokes converted to geometry). I want his mohawk to float under water. I have made a setup for the plane that works beautifully. But when I apply the same shader to the outlines they go all bonkers.

Node_tree_Displacement01
Node_tree_Displacement011348×1338 231 KB

The bottom line of the MixRGB shader is a holdoutmatte for the animation: Basically a black gradient that makes sure the animation doesnt affect the mohawk where it touches the head. - and the upper line is an animated wave texture, looping over 250 frames.
For the flat plane this works like a charm!

I know that they displace along their normals. and that that is my problem. So my question is: Is there a way to make everything flow together?

All help is super appreciated <3
Thank you guys in advance.

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Difficult to judge on the result only… even showing from different angles… its seems to be your converted strokes does have a different orientation ? so the normals … no wait: the wave texture is nothing but a height map and the mohawk is waving sideways?? then it is rotated? and you converted geo has standard orientation?