Nope, no conflict of interest here

Cheney, Scalia socialized while Supreme Court considered case

"Scalia and Cheney, longtime friends, had dinner at a restaurant on Maryland's Eastern Shore in November, two months after the Bush administration asked the justices to overrule a lower court's decision requiring White House to identify task force members."

And yes, folks, Scalia participated in the 2000 Busg vs. Gore election case.