The ideas of parties, which people kept to and had a set list of principles and ideas is a relatively modern idea. Sure enough, people banded together, but usually only on specific issues, these coalitions only lasting for a single piece of legislation, before breaking up when the members disagree.
In Britain, the permanent division between Tories and Whigs from whom we can draw a direct lineage to the present day came with the Glorious Revolution. Even before that, during the Restoration and the Civil War, groups had been far more amorphous.
George Washington wanted American politics to stay non-partisan, though he would be America's only vaguely non-partisan President.
So is there anyway to keep vaguely non-partisan government to carry on in either America or Britain for as long as possible. I realise the 20th century is a reasonable limit as the end of the Industrial Revolution will likely cause strange ideologies to emerge, congealing any divisions among politicians.