He wouldnt have, even though he was the first to escalate our involvement in vietnam he planned our pull out. Wiki says there are recorded white house convos of Lyndon talking about this, maybe you can find them. I dont know where though, try the internet archive.
http://www.archive.org
Heres a library of those recorded conversations, but theyre just transcripts and on top of that the source is the LBJ library.
http://www.lbjlib.utexas.edu/johnson/search/Telephone Conversations/conversations.html
Thanks for the resources.