Product review (1 stars): USE DIFFERENT PARTS AND THE PROBLEM WILL BE SOLVED FOR GOOD
Don't waste your time replacing your cracked lid with yet another lid that will crack.  The tension in the springs is too much for the plastic frame of the lid.

The CORRECT FIX was recommended by Kevin Miller on the fixya website.

Use lid part # 8572026.  It's a completely solid metal lid.  Use two hinges, part # 8563964, since the existing hinges won't work with the new lid.  Use four screws, part # W10119828, for mounting the new lid to the new hinges.

I used the above parts that Kevin recommended and it worked perfectly.  Check my before and after photos.

Replacing it was easy.  I simply removed the two screws on each side of the lid connecting it to the hinge.  Pulled the lid off.  One of the hinges pulled out easily.  The other I had to spray with lubricant and eventually it came out.

The installation was just the reverse.  Slide the hinges into the holes of the lid and into the holes in the washer and then drive in the screws through the lid into the hinges.

BTW, at one point my washer was spinning and did sound like a jet engine but it was still covered so they came and replaced the bearings.  So I am good for now.