All quests from the available factions stop at a certain point and can not be continued until progression is made in the main story. You'll just keep getting their generic repeatable fetch quests.
As for the question in your post. That is hard to say, just depends on the type of player you are. The game continues anyway even after you complete the main quest, obviously though based on your decisions it locks you out of further interaction with certain factions. Some folks hit the story up right away, and some people haven't even done the main quest yet despite having had the game since it's release (know a guy who only just now went to diamond city) In my opinion though, it doesn't matter much to me, the main quest is a bit thin and the meat of most Bethesda games of this nature is more about exploring your surroundings honestly.