I mean, they hire me for a reason, whatever that may be. I want to do a good job and carry out the task because I want to get hired again by them or whatever agency is pimping me out. I've seen a lot of shit and that's my value. Whether or not the team wants to help me succeed is their political thing. And that's not invisible to management either.
You're not looking at it very empathetically. You're disregarding the concerns I floated, you expect the team that feels underwater to now stop everything to reshuffle the work scheduling to fit in a wild card all while you're calling them bad and replaceable.
I mean it really sounds like you're not on their side at all. It's their job to help you succeed, apparently. From what you've said already, you don't care about the project either. You're happy to waste time and money. It sounds like they're right not to trust you.