Moving & Editing recorded non-quantized midi events

When you perform & record midi events in real time it never falls on the grid perfectly how do you go about moving & editing this clip along the track without quantizing the midi notes which strike at the 1st bar.

If you cut the midi event right on the grid & if the midi notes fall on the left side of the cursor they are automatically deleted is there a way to switch off this feature so that when I am moving the events I TEMPORARILY trim & snap it to the grid & once its located/shifted where I want it to be I re-size to regain the midi notes which were triggered behind the cursor.

Is there a preference setting for this?
This is the default way Ableton has it. I love this feature.