I've been experiencing this problem myself with my 2011 SR5 4WD with 108,000 miles. I'd back out of the driveway and shift from reverse to drive and nothing, Indicator on dash clearly displayed "D". I wait 5 to 10 seconds and bang it engages. Have to say that I was pretty concerned after reading...
I got to this point and the visegrips wouldn't work for me. My secret weapon was a slide hammer. 4 or 5 taps and it slid right down the shaft. The dremel did no good at all. Couldn't get the right angle for a good cut. Clean the exposed shaft with some emery cloth and spray liberally with pb...