That's where you're wrong. He's not going after anything specifically, and he's certainly not going after any "Deep State" or "Illuminati". In addition to that, Q has been outed by one of its own insiders. So let me wrap it up for you one more time.
Q is in fact a group of computer geeks who were involved with Trump's 2016 electoral campaign. Being genuine alt-righters, they were also involved with 4Chan, where some of them were moderators. They were already playing out their LARP there earlier, but under a different guise, namely that of an FBI insider/whistleblower. This was still before Donald Trump was elected as president, but they were already rallying support for him by posting as much dirt on Hillary Clinton ─ both genuine dirt and manufactured dirt from the never-ending imagination of the far-right ─ as they could come up with.
Then they were kicked off of 4Chan and they moved to 8Chan, a similar message board, created by other ex-4Chan moderators. The "FBI insider/whistleblower" persona was traded in for a new identity, namely "Q". And not only is that a LARP just like their previous one, but given its (and Trump's) fanatic following, they also now concretely act as a propaganda machine to keep the faith high in Trump the alt-right Messiah, so as to make sure that he gets re-elected, and if he does ─ which is very likely, given who his electoral opponent is ─ so as to make sure that Trump will continue receiving support from the same following as he already had before.
That's just because he has ADHD. It's the hallmark of his presidency, and the reason why he is dubbed Captain Chaos™. And that is also why he appears to be going after certain businesses, while in reality, they merely happen to be what irks him during that particular time of the month. Unless of course he's going after notable US Democrats, because he passionately hates those, and he'll always set some time aside to go after them.
The truth of the matter is that, as president of the United States of America ─ a country with over 300'000'000 inhabitants, the most productive military-industrial complex in the world and the greatest arsenal of nuclear weapons on the face of the planet ─ he doesn't have a single clue about what the hell he is doing. He's just winging it, and his advisors are undoubtedly having a hell of a hard time trying to keep him in check.
Donald Trump is not a man of principles and values. He's an impulsive, opportunistic, racist, misogynist and relentless narcissist who doesn't give a rat's tail end about anything or anyone other than his own ego, and the support from the big corporations that got him into the White House and is still keeping him there in spite of all his blunders.
And you can take that to the bank.