I'd imagine he'd find it a bit demeaning. I really don't think he'd stomach Hanks. And I could see them coming to blows if he was left in close proximity with Cruise too long.
Further investigation has proven to be inconclusive in terms of finding any Peter Mullan soundbites with regards to this pair.
However, I guess in Tom Hanks favour, it has to be conceded that Pater Mullan did appear in Sunshine On Leith. So perhaps any vitriol he did direct in Hanks' direction, e.g. "F*ck you Hanks, you total fraud" could be straight batted back by the portly American with some reference to Mullan's appearance in that frothy production.