I had similar experience. CZ is turning out some bad trigger experiences in the P07. That is just the way it is. Ultimately mine went back to CZ USA and they changed out some parts and polished it. SA is better, ad DA is much better, but not smooth compared to a SIG or Beretta - again, its just the way it is.
The Omega system was meant tor quicker and easier repairs on weapons with a decocker - and from what I can tell, a better SA trigger OTB than the 75 series. ALL CZs come with hammer camming prior to break - again, safety feature that doesn't feel good, but it works on a service gun.
Whatever the case, they do shoot pretty well even with sucky triggers. That is because of the grip, fat frame (lets your left hand get all over the gun), and RELATIVELY short DA from the partial cock position.
Generally the 75 series can get butter smooth and light with polishing - even without radical spring changes. Not so the Omega. It can remain pretty stiff and creepy after polishing, trigger bar spring tweaking, and polishing of other parts. Patience is key though, and I think after a couple thousand rounds they also get better.
But, I feel your pain. I'd do the polishing - lube it, and shoot 500 rounds, and see what you get. If you do this, at least buy a couple CGW trigger return springs - they are an absolute essential on this gun, because CZ TRS break - period. But first dry fire the snot out of it to smooth. You may just break the TRS then and be ready to polish and replace.
Ultimately, if it doesn't improve, consider sending back to CZ USA - it may be 'out of whack' like mine.
Once you get it quite useable, look at the SR Kit by CGW and for sure the CGW sear spring. With the short kit, you can go with a 15 or 18 LB spring. Keep in mind that if you want to replace the roller, you MUST measure the roller bearing - just ask CGW. This is some of the advice you will get from CGW.
It is easy to put over $200 in this gun to make it right, and completely change the spring setup. This changes all the slide velocities also, and wear and tear on the gun.
Of course if you want a GUARANTEED good trigger OTB, look at the SP 2022, or the PX4 in similar formats.
I still like the P07 and think it is an accurate rugged pistol with much potential. The manufacturing seems to be rough.