I like it without the swing.
I think you should probably have it without the swing because it sounds sturdier and very nice for a band. It sounds like you're giving your own twist on it. I esp. like the 1:00 "And we all see... we got no doubt..." or something like that. It felt like the "gettin' mine..." solo on Kanye's All of the Lights. Kanye proves that brass is still cool :)
Benjamin