The Burns & McDonnell-led team competing for the roughly $1 billion job of designing, building and financing a new one-terminal Kansas City International Airport is calling for the city to hire an independent auditor to guide the remainder of the selection process.

The Kansas City-based engineering company, which submitted an unsolicited KCI proposal in May that led to the current four-way competition, on Wednesday called for the selection process to be restarted because of an alleged conflict of…