If cyclists can cope with trams and their tracks in Amsterdam, I can't see why Edinburgh cyclists should have a problem.
But Amsterdam is much better designed for bikes - lots of segregated paths, and lights at junctions - and most Dutch drivers are also cyclists and are used to making allowances for them.
In Edinburgh you have quite a lot of aggressive drivers - taxis!! - who try and bully the cyclists. The advance stop box for cyclists is hardly ever observed, so it is difficult to get into the right lane and the right part of the lane if you have to worry about the tramlines as well.
And I can't imagine Amsterdam allowing this kind of layout, where the tramline pulls into the kerb and the traffic lane crosses at a very narrow angle.
Although in this picture an escape route to the left is clear, it was often blocked by taxis illegally parked on the double yellow lines, forcing the cyclists to take a very dangerous route across the tramlines. I believe there has been some improvement since.
It is not difficult to cross tramlines safely IF we are allowed to - but will the drivers learn to give us the time and space?
Ask yourself why British cities don't have as many cyclists as Amsterdam even when they don't have trams.