Them fighting each other also give them less time to do horrible things. Yes, they will still do some bad things while they fight, but it takes up some of their time and hurts their sense of unity. It reduces the damage a bit. It also inspires other outside the government to fight back too
Every little bit of delay and harm reduction is something we're going to need
EDIT: also worth mentioning that now other agencies are also pushing against musk now that Patel is. Resistance is often something that spreads once it is normalized
Multiple agencies are now also doing the same thing. I find it unlikely this was planned by DOGE as it is massively embarrassing to Musk and makes him look weak