I don't think there should be a collision with any unit from your own team.

I recently died a lot due to my own minions because they blocked me the path, if it isn't when they totally immobilized me between 3-4 of them. This is really infuriating.

If Riot doesn't want to change the way collisions works in the game, the least they can do is to disable same-team collisions so we can at least walk between our minions without risking the pathfinding to suddenly start an epilepsy crisis because our units moves on our way.