Empaths and thinkers, or NFs (Intuitive Feelers) and NTs (Intuitive Thinkers) on the Briggs-Meyer
'scale' can get along with each other if they know of the biases. Better still, they can also learn from each other, the NFs slowly gaining additional NT attributes and the NTs gaining additional NF attributes.
Now according to Briggs-Meyer, the NTs and NFs only make up about a quarter of the population. But they tend to be the thinkers and the empaths, which is what this discussion is about.
And very few of the NTs and NFs are 'pure' NTs and NFs. The 'thinkers' usually have emotional attributes and the 'empaths' usually have thought oriented attributes. But both have that 'intuitive' core that allow them to be creative in a wide variety of ways. The 'core' also allows them to jump from 'A' to 'Z' when coming up with ideas or solving problems.
As far as when people should be emotional and when they should be cognitive, it is often a learned process.