I like the idea, but there are a couple bits that feel awkward to me.* - It just feels like it hews too closely to the Jedi/Sith codes which (at least for me) never really felt all that well thought out to begin with.
I did a couple versions since I'm not sure which I like better and I didn't feel they fit together very well:
Version 1 (I really liked your first line and wanted to carry the sentiment throughout) -
There are no individuals, there is only the squad.
The squad is my family;
I will protect my family, and they will protect me;
Alone we are useless, together we achieve the impossible;
Teamwork, Courage, Victory
For the Republic!
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Version 2
We are fearless, for our armor is strong;
We are bold, for our weapons are powerful;
We are invincible, for our teamwork is flawless;
We are Havoc Squad, victory for the Republic!
Just some random ideas. Great idea for a thread btw < . .>
*Could be just me - not saying it's bad or anything.