I don't know how difficult it would be to open a small internet store which accepts dogecoin & other alts as valid currency for payment. That could be the best way to encourage retailers & others to accept alts. To prove alts can be reliable under real world market conditions.
Petitions may not be as powerful or influential as they used to be. There are many petitions in recent times which amounted to nothing.
There already are petitions for Bitcoin at Amazon, however I think Dogecoin can stand a chance too, given its near discrete nature, very low transaction fees and of course, fast confirmation time.
https://bitcointalk.org/index.php?topic=1985154.0https://bitcointalk.org/index.php?topic=1980667.0