With the government shutdown is the Muller investigation shutdown? The President gets to decide who is considered essential.?

The Mueller investigation is an investigation in search of a crime.

The current President is incapable of deciding anything

No

because if it did, Trump's shut down would be considered Obstruction of Justice.

Which even Giuliani recognizes as being a crime.

Mueller's investigation is considered "essential" and will not be shut down.

“All employees with the Special Counsel’s Office are considered exempt and would continue their operations in the case of a lapse in appropriations,” Justice Department spokesman Ian Prior said.

The Mueller investigation IS essential.

The FBI has done nothing but investigate Trump for 2 years anyway . They have neglected all their other duties ( follow up on school shooters , etc. ) ever since this ' Russia ' nonsense started .

No, the Mueller investigation is prceeding. And congress decides who gets money. That is kind of the point, if Trump wants a wall he should ask for it in the budget instead of demanding and then having a tantrum when he doesn't get it.

The mueller investigation rolls on in juggernaut fashion LoLz.