Mohammed Fattah Al Burhan Rahmane was riding his motorbike in Ankara in March when he collided with a utility vehicle
Khan's comments come after he rejected Trump's offer to make him an "exception" to a ban on Muslims travelling to the US.
"Of course, I'll travel to America. But I'm hoping that he's not the guy that wins," Khan told CNN.
"I'm not exceptional. So for Donald Trump to say Mayor Khan can be allowed but not the rest is ridiculous because there are business people here (in London) who want to do business in America who happen to be Muslim.
"There are young people here who want to study in America who happen to be Muslim. There are people here who want to go on holiday in America who happen to be Muslim and around the world.
"Now by giving the impression that Islam and the West are incompatible, you're playing into the hands of the extremists."
Trump was manipulating people by playing on their fears rather than addressing them, Khan said.
"My message to Donald Trump and his team is that your views of Islam are ignorant."
Khan said America has a choice when it comes to elections in November.
"You have a choice of hope over fear, a choice of unity over division, you've got a choice of someone who is trying to divide your communities in America, but divide America from the rest of the world."
Khan has voiced his support for Hillary Clinton, and has said he hopes to see a female US president soon.
Mohammed Fattah Al Burhan Rahmane was riding his motorbike in Ankara in March when he collided with a utility vehicle
Those who do not have permits will be directed to return to their point of origin, the Directorate of Public Security said
Nijjar, 45, was shot dead outside a Sikh temple on June 18 in Surrey, a Vancouver suburb
The two-time Grand Slam champion, who won the US Open in 2022 and Wimbledon last year, turns 21 on Sunday
Turkish president says the move is also aimed at increasing the amount of humanitarian aid entering Gaza
In another case at the same airport, officials apprehended five foreign nationals who tried to smuggle gold worth Rs.24.4 million
More than 2,000 pro-Palestinian protesters arrested in the past two weeks across the US
Fireballs and Smash tied for the lead in the team event at the $25 million 54 hole tournament