I don't use Hangouts, but I thought Google hangouts now has a desktop app variant that solves the problems you mentioned.
Re:Introducing WhatsApp's Desktop App
by reitanqild on Wednesday May 11, 2016 @02:51AM
(#11673104)
> Because it brings every Chrome window to front if I just want to read a message
Are you using a Mac by any chance?
Yes, hence cmd-tab.
Re:Introducing WhatsApp's Desktop App
by reitanqild on Wednesday May 11, 2016 @04:07AM
(#11673433)
Ok, then that is the reason for the issues you see but you probably already knew.
Edit: removed lots of unnecessary text : )
Some of these may have changed since I abandoned Hangouts last year for Telegram, which still has the best desktop experience.