Seems plausible. 1000mi of mostly rural interstate highways (how NJ gets its goods from points west), plus nuclear weapons development, testing, and disposal are popular enough with the NM locals, as are anti-poverty programs, but yank the federal funding, and the locals would be far less friendly to NJ telling NM to supply or pay for these things on its own.
New Mexico may be a bit of an outlier since they aren't deep red like some other western states? I would certainly say that New Jersey is bribing e.g. Montana, North Dakota, etc. If the residents of those states had their way, the Department of Interior would be run differently, entitlements would be lower, Israel wouldn't get so much support, etc.
The red states are not a monolith. You might get a majority of support for some entitlements in Georgia or West Virginia. You won't get that in Wyoming or the Dakotas. Maybe those aren't the entitlements you're talking about, though. This "right people" entitlement: which one is that? Which entitlement goes to white males but not minority females? If you mean some boondoggle for rich people, I already mentioned the military and Drug War spending upthread. Besmirching all entitlements by association with that crap would be dishonest.