Until the US had better visa programs, it would be a shame to dismantle the H1B program.
Don't let perfect be the enemy of good.
Make a replacement, then talk about changing H1B.
Good luck finding a new employer willing to sponsor your H1B within just 60 days (the grace period allowed before self-deportation) in this job market.
Additionally, switching employers resets your green card approval process (if it has started), which can take years. This serves as a significant disincentive to change employers unless you've already filed your I-485. Considering that an H1B worker has only 6 years to progress through this process, there is even more pressure to avoid changing employers.