1) In some point of history the word 'Sunni' was used to donate Ahle Sunnat wal Jama as opposed to the Shiaas. But this word 'Sunni' does not refer to the current Ahle Bidat who are claiming usage and ownership of it.
2) Ahle Sunnat wal Jamaat is an ideological theology termenology whereas the Tabligh Jamaat is work to strengthen Imaan.