Although I am Right handed, I'm also like my Dad was, in that anything done one handed was/is Right handed, but "Almost" everything done with both hands would be considered Left handed, (except shooting a rifle/shotgun is considered right handed when the left hand is on the forestock and the right hand on the trigger).
Although I have used both right and left tilt saws, Mostly I have used left tilt saws, (all that I have ever owned have been left tilt), and I started out using the fences And Mitre Guages on the Right, and Standing on the Right side. I have on occasion done it the other way, but it just never felt "Natural" to me.
As Usual, I seem to be 180* out of phase with most everyone else.
"Some Mistakes provide Too many Learning Opportunities to Make only Once".