I use it (Non-Chlorinated) and follow with CLP. Then the next day a wipe down and give it a proper lube with the good oils & grease in just the right places.
Letting the CLP sit overnight really lets it do it's job, as it needs contact time & absorbing time to perform as it was intended. The brake cleaner will do a great job of getting the majority of the carbon & old oils off, & give you a 'clean slate' to start the cleaning process.
I'm a bit anal about my cleaning jobs though. I do stuff like; rounding edges that are cutting into other parts, polishing the friction surfaces-all of them, & after a couple thousand rounds, I completely disassemble the weapon and look for any wear points to smooth/polish/refinish & then clean the whole thing while it's apart. Then I examine those areas again after a few hundred rounds to ensure they are not continuing to cause wear. This (I feel) will make my weapons last longer than just letting the factory machine work wear in. Aluminum will not mate to steel. Steel will eat aluminum until it gets it clearance, and maybe longer in cases like the bolt carrier rails.