With the wider issue of...

"Grayling insisted Rudd’s departure had nothing to do with the wider issue of members of the Windrush generation of arrivals from the Caribbean being wrongly targeted by immigration authorities, or with the hostile environment immigration policy initiated by May when she was home secretary." (The Guardian.)

I understand that with the wider issue of members of the Windrush generation of arrivals from the Caribbean being wrongly targeted by immigration authorities is a prepositional phrase whose object (complement) is a noun phrase and consists of the head "the wider issue" modified by the 'of-genitive' phrase with its complement, a non-finite clause, members of the Windrush generation of arrivals from the Caribbean being wrongly targeted by immigration authorities.

Is my understanding proper?