Burning Planescape: How to handle alignments?

I’m laying some groundwork for a Burning Planescape game I will be running soon.

In the old AD&D Planescape setting, alignment is a very important thing. The classic D&D alignments of Lawful Good, Chaotic Neutral etc. are real metaphysical concepts that touch and change the multiverse. In short, it’s sort of a big deal in the setting.

So, how can I best model this in BW without changing the rules?
I’ve thought of a number of ways. Traits could cover it, as could just adding alignments to BW characters. I don’t feel those options are really satisfying though. As with everything in BW, I need to get to the heart of the matter, and the heart of the matter is Beliefs.
If we model alignment with Beliefs, would it be enough to have one of a characters three beliefs be about their alignment? Or will that be too restrictive? Is adding alignment as a fourth Belief sort of like Dwarven Oaths an idea worth considering?

Beliefs and Instincts can take the place of alignments.

Never allow Law to put its shackles on me.

Always use Law to bring Justice.

Always preserve the balance between good and evil.

Never sacrifice good or evil over the word of Law.

Always take from the weak.

etc.

I know there was an old thread about this.

Here it is.

That is amazing, thank you! Just what I was looking for!