The Black Cats had a nightmare first half in their 1-0 defeat at the KC Stadium, with Carlos Cuellar scoring a decisive own-goal before Cattermole and Andrea Dossena both saw red just before the interval.
Poyet accepted Dossena had to go for a dreadful stamp on David Meyler but felt the eighth red card of Cattermole's career - for a studs up tackle on Ahmed Elmohamady - was a harsh one.
His feeling of injustice was aggravated by the fact McShane was not penalised for his collision with Westwood, which left the Irishman groggy and unable to continue.
Poyet accepted there was no malice in the challenge but gave a colourful account of the danger involved.
Asked about the dismissals, he said: "Cattermole no, Dossena yes.
"I would love the ref to talk. If I was a pundit working today - and I was during the summer when I was out of work - I would ask the technical people to show the tackle on Westwood that nearly cut his head off, the one on Adam Johnson (by Robbie Brady) and the one from Lee Cattermole and let the pundits comment on them.
"They need to comment on all the tackles. I'm not accusing McShane at all: I think he played the ball and he was late but he nearly killed him and he is injured and he is out and I need to change my goalkeeper.
"The tackle of Lee didn't touch him (Elmohamady). He was still on the pitch and he was down for two minutes, there's a little bit of a difference,
"Maybe I'm from another planet, I don't know."