Why do you need to become BFF's with your tenant? This is a business relationship and should be treated as such. Politics and religion and deep, personal discussions are not necessary and should not be required of a tenant.
If they told you they were Republican and switched their political party mid-lease, would you consider evicting them?
Focus on the aspects of a tenant that actually mater with regards to your property: Criminal background, past evictions, income, credit worthiness, LL references.