Not sure if its a problem with the model or something in the code. In the video there are weird white lines all around the smaller bits and on the side at certain views a huge white line appears.

Hi,

 

I've had that problem too. This could be easily fixed I think.

If red was the texture part the model uses, add a border around that (the same color as the texture of course).

Try to do this:

See if that helps.

Yes I tried this, still seems to be an issue

Possibility:

Your model's vertices aren't quite lined up with each other, so the front face and the side face are ever so slightly offset in one direction from each other (ie. their edges are not congruent) so floating point math makes you see between them sometimes.

I made sure they were snug, still having the issue