Taming the mind and Homelessness

In the Buddha's teachings we learn how to see things as a product of our own mind, for example, if you "fall in love" everything happens in your own mind, the other person is nothing but an external stimulus, so in theory if we tam our mind we can live in this world without suffering wordly consequences of attachments and desires. Even with this deep knowledge, in Buddhism we are encouraged to abandon desires, wealth and go to homeless life (for monks!). So the question is: Is it impossible to tame the mind completely? Is that an utopia? Because if one could tame his mind completely, there would be no need to abandon things as the way he relates to them would be completely free and deattached. If material things have the potential to create problems, does it mean a full tamed mind is impossible?