I read the suit - its intent is to reveal not just inequality in the Draft system, but the systemic tilt in our legal system against Men, in family court, custody disputes, abuse allegations, etc. The claimants have hard evidence indicating that while women scream equality, they enjoy favoritism in the legal system. The Draft is just a high profile issue that they hope will shed light on it all.
One option is to cancel the Draft. My mind has changed over the years, I'll admit it. I used to advocate mandatory service. But no one should have to go where I've gone and seen what I've seen unless they chose to, especially in a constitutional republic. If "we the people" supported a national security strategy, we would get our congressfolk to declare war, and we'd voluntarily line up at the recruiting station. Currently, we the people DO NOT support the national security strategy, and so its gotten to the point that the Army no longer kicks out drug users if they self-refer. You read that correctly - have a coke addiction? Tell your chain of command, they will get you treatment, and will not process you out of the Army. And women haven't been able to get out due to pregnancy in nearly 20 years - I've been in since 87, I saw the policy change. DOD has lowered all recruiting standards, and retention standards, to where we have folks in ranks now that just flat would not have been allowed in during WWII when we wanted all hands on deck.
There are nations that practice conscription; they also do not have a global police force mission nor posse comitatus, so those conscripts often serve at a base in their hometown, providing homeland defense. I've served on combined task forces with 3 of those countries, all in their own borders. You cannot compare the life of a 19yo norwegian conscript doing ski patrol near his parent's house, to a 19yo US draftee sent overseas to fight and die on foreign soil.
Just say no to the draft. If we fear that people will not volunteer to do the right thing in the defense of our constitutional republic, then maybe we should address why we fear that instead of using the force of government to provide a corrective.