HS, I don't know why you feel compelled to kick off another thread re should we/ could we.
I'm with you, no we shouldn't for a myriad of reasons, including the fact that we would be in coalition with both France and Russia. The last time that was the case, the former dropped out and the other threatened its allies at the end. The time before that the latter dropped out and the other ensured that the reckoning would result in yet a further bout of unpleasantness.
Oh, and then there was Suez, a humiliating failure involving the first and exploited to the hilt by the latter. They are both bent on vengeance rather than anything more positive. Let them wreak it themselves.
As someone in Hollywood once said, include me out!