No-fault has to do with grounds for divorce, not property division. What you need to determine if your state recognizes equitable distribution or community property. In any case, if the stock or options were acquired during the marriage she's probably entitled to a share.
You'll likely need more than a memorandum of understanding, you'll need an order of the court laying out the distribution of marital property (and debts). This may be a "stipulated judgment" where the two of you work out an agreement and the judge just signs off on it, or you may have to have the judge decide any issues you can't agree on.
Alimony probably depends on your state laws as well as the size of your salaries. If you make $100k and she makes $50k, you can probably expect alimony so she can continue at a similar standard of living. If you make $500k and she makes $250k, maybe not.
As far as keeping the peace, you shouldn't necessarily roll over but some of the best advice I got was if you're feeling like you're only getting a little bit screwed, you should just sign off and be satisfied.