I've had people ask me about this, too.
In my limited experience, what comes from detachment isn't stone-cold apathy. It's like a man heaving around a backpack full of boulders. When he can set it down, even for just a minute, it feels so good he has to run around and do cartwheels. Taking the friction and resistance out of samsara makes a lot of it not samsara anymore. When everything stops being A Very Big Deal© I think most people would find a lot to laugh about in our situation as humans

In fact, I think one of the warning signs that something's gone amiss is if everything becomes more burdensome and despairing. Oh, I have to save
all beings? Or oh, I have to detach myself from everything? That's where the gentleness to see where our wisdom is lacking is important. I can see why someone would take equanimity or detachment to mean "I'm a robot" but doing that is taking the teaching out of context in a naive way.
Detachment with still a strong pull towards ego means we strengthen the gulf between ourselves and others, and our own natural spontaneity becomes stifled. Another ego trip. We fall into ourselves and our crystallized ideas about detachment. Detachment with a strong practice of bodhicitta and renunciation of things, including detachment, I think results in a lighter relationship with the world. The vigorous energy that is now free from our own self-interests can be redirected towards the relief of suffering. The natural result of skillful equanimity is joy, opening up, and humor

That's my two cents. I think this is a very crucial point that can be misunderstood, especially by the people in our lives who don't practice, so I'm really eager to read more learned and experienced answers here.

Please take the above post with a grain of salt.