Yes, I think that one of the many problems with two-party systems, and Yes/No referenda is that they force people into binary and tribal political alignments, which then make debate much harder to achieve.
A proportional representation system where centrist parties tend to hold the balance of power, or you can even get the main Left and Right parties forming a coalition of compromise, as has happened recently in Germany for example, is much healthier.
And referenda should require a supermajority of at least 60 if not 70% to ensure you don't end up with half the population (or far more, taking into account abstention, disenfranchisement and ineligible under-18s) being forced to accept the imposed will of the other half, potentially for a generation or even in perpetuity.