Thinking about the past few days critically it is impossible to believe Q is fake. The president might be willing to ignore someone speaking on their behalf for a while I can believe that. However at a certain point it becomes absurd that any sitting president would allow Q to continue without mentioning it unless they agreed with what Q was saying.
Why would Obama, Clinton, Bush, or Trump allow someone to claim that on their order they executed sitting US Senator. That is highly insulting disinformation that could not be ignored.
At the very least you would expect some journalist to ask the president if he really had a Senator killed or if this person is just insulting the United States government.
This simple line of critical though requires no "proofs" it just takes common sense to think why would the media and the president ignore this. It isn't some small niche movement anymore that reason is gone. It has to be purposeful action on both their parts to not respond at this point.