The merit (or lack thereof) of his claims and views matter little in this case.
The case is visible enough and touches on politically relevant points enough so that there will be tons of people on both sides willing to fund this case all the way to supreme court.
Then there is the problem with how damaging discovery would be to the company.
It will probably will get settled fast, with Google paying him a few years worth of salary and a non-disclosure clause that will make him never speak publicly about the episode again.
Unless the guy gets too greedy and push for too many figures, then it will be a shit storm.
Damore was fired because he was bad for business. Not because he's white, male, conservative, or the contents of his memo. Had the memo not been leaked publicly, I have no doubt he'd still be working at Google and his memo ignored and/or forgotten. He simply became too much of lightning rod for Google to continue to employ him.
Google will settle for the same reason. It is better for business to pay him off and make sure he never talks about it again, than to drag this out.
The only people who will be financially better off in this whole deal will be the lawyers, and nothing will be resolved in reference to the larger issues surrounding this case.
I wouldn't be surprised if his intention is to take this further than just a settlement. There's a great deal of social momentum pushing for Google to be accountable for this whole debacle at a larger scale than that, and Damore is positioned to play the hero archetype on that front.
