The springs, progressive or otherwise, are not in themselves likely to be an issue. Ride height at either end definitely is. If the springs were the same (likely the new springs are stiffer than the stock ones regardless of the shock which would amplify the problem) , 2 inches extra at the back can be a LOT. 4 inches? The ride height, that is how high both ends of the bike sit with you and your gear on it, is important because it controls the steering geometry of your bike. Raise the back, or lower the front, and you can easily see how the entire frame rotates down at the front. The steering neck of course rotates along with it, and the rake is more vertical. This makes it much easier for the steering to turn away from straight ahead. This also decreases the trail, which is the distance between the center of rotation of your steering and the contact patch of your tire. This controls the castering effect of your steering - the larger the trail, the stronger the force created that pushes your steering to center and the more your bike wants to track straight ahead. Decreasing the rake by raising the back decreases trail and reduces straight line stability. Obviously these effects also affect behavior while turning.
Put the stock shocks back on and the stock springs back in the forks and ride the bike around to determine if the problem goes away. Presuming it does, measure the ride height front and back with you and your gear on the bike. Measure from the ground to some fixed points, like the tail light and headlight - anything that is easy and repeatable. Get a friend to hold you up balanced vertical but not impacting the height. Bounce the bike up and down to get an accurate and repeatable measurement. This is your base line for making changes. If you like the way it handles now, you want to keep these measurements the same after you change the springs. The handling I am talking about here is on a perfectly smooth turn with no bumps so the suspension does not come into play. You are interested in ride height and the resulting geometry so you want the smoothest test turn(s) possible so shocks and springs are minimized as a variable. Once you have a ride height you like, you can change the strength of the springs to change how your bike reacts to bumps, accelerating and braking. Whether you make them stronger or weaker rate, you need to adjust them so the ride height is not changed, otherwise you will change the geometry as well. For instance, you may want stiffer springs in front to reduce the impact of diving under braking and be willing to sacrifice some compliance and the resulting rough surface traction to get it. You will still want to set up the stiffer springs so that the ride height is maintained by adjusting the preload, otherwise the geometry will be changed affecting the handling - for the worse if you have already determined the ride height that gives the handling you like.
After you get your benchmarks for ride height, put your new springs back in and the new shocks back on and repeat your ride height measurements and compare. If you can not adjust to get close to your old measurements you can expect your bike to drive noticeably differently.
Making suspension changes is relatively complex. Part of that complexity is based on rider perception. For example, most riders will report that their bike handles better with stiffer springs. Mostly this is not actually true, but stiffer springs give crisper feedback to the rider which instills confidence in the rider but doesn't necessarily make the bike actually work better. No doubt, if you are more confident you likely will be able to drive better/faster, but all things being equal you will be fastest on the best handling hardware. Overly stiff suspension does not follow the road as well as a more compliant one, and affords less traction. How it feels to the rider is another element altogether, but it is as important as getting the right geometry and suspension (springs and shocks). Since each element (rider, geometry, and suspension) has an effect on the other two, optimizing the system is tricky.
So how does one logically approach trying to improve how their bike drives? Try looking at your chassis and suspension as two separate elements. One is the geometry which is all the fixed (assuming you maintain some particular ride height) parameters like rake, trail, wheelbase, swingarm length, fork offset etc, etc. The other is the springing and damping. If you like how your bike drives, you want to keep the geometry. You can adjust the road holding by adjusting the springs (that would be the spring rate, and adjusting the preload to maintain your ride height), shocks (and their damping) and tires (brand and type of tire and inflation pressure.) If you don't like how your bike drives, you then likely want to change the geometry - for instance if your bike speed wobbles or is twitchier than you would like at high speed, you might think of increasing the trail. This all requires quite a bit more expertise and there are a number of great books on the subject if you really want to go deeper. For most of us though, we want to stay very close to what the manufacturer came up with as far as geometry and limit our experimental adjustments to changing the ride height of the front or back (or both).