You could be right. I was thinking of Chambliss's proposal to secure funding for border security as a separate bill, to be passed first, but since this is the turncoats Kyl and Graham, that must not be it.
Either way, if they are proposing to use the money raised from the immigrant bill fees and fines in order to fund the related spending, it shows without a doubt that the immigrant bill is a bill to merely raise revenue and is wholly unconstitutional.