Only if they repeatedly kept inferring that the Code of Canon Law, CCC, or Vatican II were all somehow defective. Oh, and maybe if they were regularly carping and back-biting about the Pope.
I have looked into the site you mentioned, and found no confirmation of it except for a few blogs. It is isn’t referenced by EWTN, Catholic Answers, or Cardinal Burke himself.
There are no statements by the Americans listed, acknowledging their signature, nor encouraging others to sign.
In short, its provenance is questionable at best and shady at worst.
I don't hear you complaining about a carping and back-biting pope who has nothing good to say about traditional Catholics or mothers of large families.
Cardinal Burke, himself, signed the petition. As far as public comments from the good Cardinal, we have haven't heard word one from him since he was recently summoned to Rome for a "private meeting" with Francis.
Why do you think the Cardinal is now silent?
Your words imply that a faithful Catholic must believe that Canon Law, the CCC and Vatican II are without defect, and that the words and actions of popes are above criticism. These are misapprehensions which are frequently displayed by Protestants and others who are ill-informed regarding the facts (generally through no fault of their own). Catholics, however, should know better than to believe such falsehoods.