To know them is not to love them.
In a allied country my first question would be, will this leader back us in a fight? The second would be, will this leader promote an atmosphere where we can trade freely? But that is really really secondary. Other then that why should I care?
In an enemy my concern is, "will this leader be more likely or less likely to attack us?" Once again a very secondary consideration would be their views on trade.
Aside from that and as long as the country remains reasonably orderly and civilized why should I care about how they are arranging things.
Once you move beyond having those be your primary consideration you're interest begins to become unhealthy.