you need to put yourself all in there not as the golden key to "show your wife"
but
as the golden key to show yourself
humbleness humilty dying unto yourself...there was a choice to be a parent...being a parent means that someone else's needs now come before yours...it is making the hard choices because someone else is more important than you
your children will not go hungry because you take this job...you are not caught trying to decide if your kids can be home by themselves for 3 hours while you finish your second job because you need food
you are not a million miles away because there are no jobs where they live and you all can't afford to live where you can get a job
there is no "doing this so she will see" there is only DOING
doing because there is no other choice
when you realize that you are being given a chance to practice humilty, selfless love without the loss, I would jump at it
God doesn't offer us too many of these chances your next lesson in humility and parental love may not come at the cheap cost of a different career
your options are to nurture a relationship with your children where they know they come 1st, not that you gave up blah blah blah for them but that they simply came 1st or let their relationship be nutured by someone else and you just come over to look at the pretty flowers sometimes...one where they always know that daddy is a cardiac surgeon and has a very important job...and OM tucks them in at night
you are right, this is a "choice" you have to make I guess I just don't see it as a choice unless I could not provide for my children and they were better off with me somewhere else, I would not consider living away from them as even a possibility
what service are you doing your children by being a cardiac surgeon somewhere else? or is this option only to serve your desires
they make simple cellphones specifically for children but your wife seems very open to letting them skype with you etc why not make it a habit to call and read a bedtime story with them every night at 7 or something? It will take less than 15 mins but create a ritual to look forward to every night