I think today's fanboy culture would make it VERY hard to accept a different Dr. Who product that what is on TV and it certainly would not fall into canon.
		
		
	 
 
Would it really though? 
 
I mean, I don't honestly know one way or the other. But there are the novels, the radio and audio adventures (including one with an 'alternate' Doctor interacting with two Classid Doctors), the likes of the 'Dr Who Unbound' adventures, the web series with Richard E. Grant as The Doctor, the various versions of Shada arguments about season 6B, etc. 
 
Most of the above seem to appeal to the dedicated fanboy, as oppose to the casual fan, who just watches the tv show. It seems hard to reconcile the continuity of those various spin-offs, alternate Doctor Whos and untold stories, yet fanboys have gobbled them up. 
 
I note also that fans have in recent years contended with a Spider-man reboot coming less than a decade after the first movie, a reboot of James Bond, a modern day Sherlock Holmes series coming a few years after a looser action-adventure movie version (with an Americanised modern-day version to come), several different takes on the Hulk and the Punisher, a Star Trek reboot, a Superman reboot (as well as a tv prequel series), a Batman reboot, a James Bond reboot - have I missed any of them out?!
 
As I say, I don't honestly know if a movie version of DW outside the canon would be accepted or not. But I think fans may just be more receptive to the idea of an alternate take on their heroes than we think.