Well, you should automatically have in common believing in government social services and regulations (for safety).
Morality is nobody’s exclusive domain on left or right or inbetween so that stands separate from a political spectrum.
As far as “social conservative”, that can be tricky to decipher. Conservatism once upon a time meant not making any radical changes to society, keeping things more or less how they are, making minor adjustments as you go but nothing radical, because radical change was always from the left.
But what conservatism is isn’t what it was. Now it is activist, radical, looking to overthrow society and create something new, looking more like left than left does now.