I believe that would put the current schedule out of shape... If you analyse it, currently there's 4 weeks per season. Season start is always on Sunday. I Believe there's a reasoning behind this.

Anyway, i like the idea of a break between seasons, mostly giving a chance of recovering injured players. So, either a simulated break (X days taken off injury times), or even adding another week to the season time:

Add 2 teams to each league, giving it 4 more matches (Days). Add one rest day at mid-season (Christmas/New year's break) and 2 at the beginning of the season, rest + a single game competition, like suggested on other thread.

Just my 2 cents...