I have a history of precision pistol shooting with single action pistols. And as per that I've spent time dry firing and watching the sights to make sure they stay put as the trigger breaks. And that means adjusting my finger to just the right spot. Now, my hands are not big. And so if I wrap my finger over the trigger it pulls the gun to the right as the trigger breaks, not good. So when it comes time to take a shot that must be precise, I unconsciously start sneaking my trigger finger back to where it will be most accurate, which isn't much more than the tip of my finger. Works great for handguns other than glock. Glock is fat, which makes the trigger reach long. With a glock I start missing the trigger safety in the middle and the trigger won't move, not good.
So, my question is, is there another way I am not aware of to get the glock trigger to move and still have it stay on target? Very possibly something more typical of striker fired pistols as opposed to single actions. I can't get it figured out.

Sights wobble to the right as the trigger breaks. Especially one handed.

First, the Glock pistol was never designed to be a "precision" gun.  It's a fighting pistol at heart.  Having said that, I have no problem hitting 6" plates at 25 yards.  IMHO, that's acceptable for what the Glock pistol is.  If you really want a precision pistol go elsewhere.

Kinda agree with this. I’m curious why op is so interested in making a Glock a precision shooter.

Make your Glock less fat by removing backstraps.

Change the trigger shoe.

Change the trigger with a full $$$ competition system that lets you adjust pre travel without loss of safety.

Unlearn your old trigger finger placement and drill the new placement.

The Glock trigger is a pig, and there is no good way to meaningfully improve it (except maybe the new Timney trigger). The original design choice to make a trigger that only partially pre-cocks the striker made sense when they were trying to convince military and police procurement officers that their new plastic pistol was as safe and simple to train on as a revolver, but Glock’s stubborn adherence to “perfection” has left their gun burdened by a fundamentally inferior trigger from a marksman perspective when compared with fully-cocked designs like the M&P.

I'm sure the glock is plenty capable if I can just shoot it better. I hate guns I can't shoot accurately. I've made 35 yard headshots on foxes with my Witness. But I would much rather have the positive attributes of glock. Holsters, sights,after market parts, etc etc etc.

I picked up a Lone Wolf frame to try and it is WAY better. However, if there is a way to retrain myself or whatever, I'd prefer to fix me as opposed to fixing the gun.

This.  Stack the trigger to the breaking point, refine sight picture, then break the trigger.  I think what is causing your wobble is the over travel.  Theoretically the shot should be over before that wobble would affect placement, but I don’t know for sure.  

The only way I know of to minimize over travel/wobble is lighten the trigger with one of the various kits.  That way you can get off the trigger before it slams in to the frame and causes wobble.

I noticed my glock magazine is a lot fatter than other magazines I own. That makes the gun fatter, and so I'm having to reach forward to get to the trigger. Trigger finger is stretched forward enough that the stress pulls the gun when the trigger breaks. I had thought a gen4 19 would be the answer and it was closer, but not close enough. The lone wolf frame I just picked up is probably going to work just fine. It not only has a narrower grip it also has a different grip angle that moves the hand forward. I would still prefer a training solution if there is one instead of a gear solution.

How dare you,sir.

Truth.  Running the M9 in the Army was a pain in the anus for me and my circus carnie hands.

I have small warrior-sized hands.  And when I say warrior, I may or may not mean Xena: Warrior Princess.  I get it.  I run a Glock 45 MOS on duty and I will say that the Gen5 is the best Glock to date and the only Glock I haven’t had to do a full grip reduction on.  With Glocks, they are a major training obstacle to some and the trigger is a source of a lot of complaints.  There are few guns out there that I would ever say can compete with a Glock in terms of dead-nuts reliability, but there are plenty that out-perform the Glock when you’re counting points on a target at distance.  I would rather carry my Glock on duty in garbage conditions over what other guys I work with are carrying on duty, but the truth is that the guys running Staccato P DPO, Sig P226 Legion and Sig P320 X-Five are all going to rack up better scores at 25yds+ and have consistently tighter groups than my G45.  

There has to be a major training effort for the Glocks, and what I’ve noticed over the years as an LE Firearms Instructor is that you have to have your finger in the exact same position every time, because consistency is key.  Now, when you run aftermarket flat-blade triggers, this becomes a different dynamic and I tend to believe that the trigger becomes more forgiving to finger positioning.  In your case, if this is not a duty gun, then you may want to start looking at a mechanical remedy to this.  The worst thing that happens is that you don’t like it and you have to sell it and get something else.