Vincent_DieselAlso forgot to mention, why the hell do I turn better going right than I do turning left?
you'll probably always have a side you prefer turning to. that's fine, just don't let yourself favor it too much.
as for progressing from where you are to normal turns with no wedging, i think you should start at a standstill with your skis parallel to the fall line (the fall line is just the direction downhill that you would go if you just slid down. imagine where a soccer ball would go if you just dropped it at your feet; that's the fall line).
then, point your skis downhill (together/parallel as much as you can) and continue through with the turn until youre stopped completely again but facing the other way, skis still parallel. then do it again and again and as you get used to it, you will be more and more comfortable not wedging at all as you make each transition, and more comfortable letting yourself go downhill a little more with each turn.
the idea here is that you get used to the normal technique of the turn with parallel skis, and come to a place where your safety move is a parallel "hockey stop" rather than your safety move being to wedge your skis. from there you can control your speed and as you get more comfy you can let yourself gain a little more speed each time with the eventual goal of linking each turn rhythmically and controlling your speed with turns rather than a wedge
does that make sense? let me know if you want it re-stated.
most importantly just keep practicing and keep having fun! your mental attitude will have a big effect on how in control you feel on the skis. don't get down on yourself, it won't help!
also another key: you have the most power over your skis when youre leaning forward, pushing your shins against the tongues of your boots. i understand you might feel like leaning back when youre scared but that will only lessen your control over your skis. as i said, you want your "safety move" to be a stop with your skis together, perpendicular to the fall line. the easiest way to turn your skis the way you want is to lean forward a little aggressively and power the boot (and therefore the ski).
also remember, you are no longer a human with your weight on your heels. you are now a penguin, hunched forward a little, your center of gravity residing in a line straight down from your head, down through your chest, down through your knees into your feet. see photo-realistic diagram attached to this post for reference. the red line is your center of gravity