Exodus 90 (and similar methods to help men grow in virtue) don't interfere with marital responsibilities. It's good to bring up the question, though, and to acknowledge the potential for it to go wrong and harm marriage, spouse, and family, so we can avoid the error.

The purpose of Exodus 90 is to provide a detailed and specific way for men to grow in virtue and discipline by obedience to an external program. This is nothing new in the Church's life. It can bear incredible fruit, and should be encouraged and helped so that it goes well.

It's true that there's a danger for it to become egotistical, pelagian, or an expression of machismo. This danger can be avoided by thinking clearly about what virtue is, and how growth in virtue happens.

A simple saying can help keep the proper frame of mind when pursuing virtue:

Humility is the foundation of virtue; obedience is the form of virtue, and charity is the perfection of virtue.

Let's break this down.

Humility is the foundation of virtue. A proper understanding of our place as fallen men, totally dependent upon God to do good, but also truly capable of being built up in authentic holiness and virtue, is essential to growth. You can't build if you don't know where you are.

Truly seeking virtue actually builds humility. Honest self-examination while trying to do better will reveal our weakness, our potential for strength with the help of God, and the limits of our human frailty. Trying to grow and learning humility are interdependent, not opposed.

Charity is the perfection of virtue. We know we have reached the fullness of growth when we can easily, happily, and consistently do the good for the other. The man who can do very well, but only for himself, doesn't have true virtue, but is malformed. Charity is the true goal.

And, finally, obedience is the form of virtue. This is where we see that, far from disrupting or damaging family and marriage, growth in virtue is the most important way that a man becomes a better father and husband.

Virtues aren't separate from a person. They're not something extra added on top, like some kind of holiness sprinkles. They are truly a -habit-, or goodness and holiness -living in- a person. True virtue, then, is always built up in accord with who a person is.

In other words, true virtue takes a person, and conforms them to who they should be. It is the habit, built up in a man, of being the husband and father he needs to be. It is fully, completely, and radically obedient to his state in life and God's will.

If a man tried to develop virtue that didn't match his vocation, or grow in virtue in a way unsuited to his responsibilities, it would not be true virtue. Obedience is the factor that keeps virtue true to what it should be as it builds on humility and strives toward charity.

The demands of Exodus 90, in themselves, are absolutely compatible with the duties of a husband and father. I've advised a number of people going through it, and I've seen wonderful growth in friends and family who've done it.

It would only be if a man failed in humility, obedience, or charity that would cause it to injure his spouse, kids, or family, not something wrong with the program itself.

Shout out to people like @Zo_bo_fo_sho who have raised the potential issues - which absolutely are real - so that we can talk about them, and so that the guys who try to grow in virtue can do it well, recognizing the pitfalls and avoiding them.