Actually, there are, Jean. I think the thing you have to remember about the example you raise is that Bingley did not want to have his two guests, Darcy and Elizabeth, having an argument. But on other occasions, Bingley disagrees forthrightly with his sisters and with Darcy. Here are examples.
During the Netherfield breakfast after Elizabeth has tracked her muddy feet into the dining room, Caroline waits until she has left the room and denigrates her.
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"To walk three miles, or four miles, or five miles, or whatever it is, above her ancles in dirt, and alone, quite alone! what could she mean by it? It seems to me to shew an abominable sort of conceited independence, a most country town indifference to decorum."
"It shews an affection for her sister that is very pleasing," said Bingley.
That's what the kids these days would call slam! Bingley is telling his own sister she could learn a few things from Elizabeth, and he does so in a deadpan but unwavering way.
The Bingley sister are not finished trying to tear down those Bennet girls:
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"I think I have heard you say, that their uncle is an attorney in Meryton."
"Yes; and they have another, who lives somewhere near Cheapside."
"That is capital," added her sister, and they both laughed heartily.
but note how their brother rebukes their cattiness:
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"If they had uncles enough to fill all Cheapside," cried Bingley, "it would not make them one jot less agreeable."
It is only Bingley's deference to Darcy that makes him cede the last word to his older friend, who says rather less nobly than Bingley:
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"But it must very materially lessen their chance of marrying men of any consideration in the world,"
Despite Bingley's silence at that point, he goes on to allow his feelings for Jane to flourish, so much so that Darcy feels he must be quite active in tearing his young friend from the woman with the unacceptable family. It was not easy for Darcy to persuade Bingley not to return to Netherfield, and eventually, only Darcy's adamant claim that Jane was indifferent made Bingley falter.
Another instance at Netherfield when Bingley showed he could have a snappy, sarcastic tongue was his response to Caroline, who was going on and on about how he should make his estate just like Darcy's Pemberley. Bingley says,
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"With all my heart; I will buy Pemberley itself if Darcy will sell it."
"I am talking of possibilities, Charles."
"Upon my word, Caroline, I should think it more possible to get Pemberley by purchase than by imitation."
Bingley also teases Darcy in that rough, blunt way that men can have with each other:
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"By all means," cried Bingley; "Let us hear all the particulars, not forgetting their comparative height and size; for that will have more weight in the argument, Miss Bennet, than you may be aware of. I assure you that if Darcy were not such a great tall fellow, in comparison with myself, I should not pay him half so much deference. I declare I do not know a more aweful object than Darcy, on particular occasions, and in particular places; at his own house especially, and of a Sunday evening when he has nothing to do."
Mr. Darcy smiled; but Elizabeth thought she could perceive that he was rather offended; and therefore checked her laugh. Miss Bingley warmly resented the indignity he had received, in an expostulation with her brother for talking such nonsense.
So, no, Bingley did not want Darcy and Elizabeth to argue. Perhaps he wanted to protect the slight Miss from the tall and imposing gentleman because he knows better than Elizabeth that his friend Darcy can have a cutting tongue when he wishes? I think Bingley could take care of himself but in this instance, he was really taking care of Elizabeth.
