mySQL :: insert into table, data from another table?

I was wondering if there is a way to do this purely in sql:

q1 = SELECT campaign_id, from_number, received_msg, date_received 
     FROM `received_txts` WHERE `campaign_id` = '8';
INSERT INTO action_2_members (campaign_id, mobile, vote, vote_date)    
    VALUES(q1.campaign_id, q1.from_number, q1.received_msg, q1.date_received);

Note: q1 would return about 30k rows.

Is there any way to do what I am attempting above in straight sql?
To just pull the data straight from one table (basically a raw data table) and insert into another table (basically a processed data table)?