"//His support among the ordinary Labour party members who are the ones who vote is even higher now.//
Evidence - if any were needed - that the herd of sheep that is the Labour Party is completely out of touch with the electorate at large."
I'd tend to agree with you, but persuading the Corbynista "sheep" of this is not exactly the easiest task in the world. In the end, only a General Election would tell, and who knows? Perhaps, after all, the discontent at the current state of politics would drive the electorate towards Corbyn in numbers large enough to propel his party to victory. But he has to last long enough first... or, at least, his party does.
At any rate, Eagle's leadership bid at least gives Labour the chance to resolve this once and for all. If she loses, which I think is more than likely, then the PLP has to give up protesting and accept the will of the members, whatever that ends up meaning for the party's election chances.