Position statement: Will Trestman keep Cutler?

The Bears have named a new coach after snagging Marc Trestman from the CFL, and the obvious question remains: Who will be his QB? Jay Cutler is the current favorite to continue his tenure under center for the Bears, but could a name like Tim Tebow upend Cutler's present gig? Trestman has tutored both QBs but was not shy when gushing about Tebow's potential as a dual-threat passer. Will Trestman eventually slam the door on any Tebow rumors, or could a union with the Bears become a realistic possibility?