I see the iDatalink Maestro + Rockford Fosgate - DSR 1 as the solution to your application. In my opinion the AudioControl DQ61 isn't the interface for this.
and
DSR1 - 8-Channel Interactive Signal Processor w/ Integrated iDatalink Maestro Module | Rockford Fosgate® This device will allow you to bypass the aweful factory EQ and still allow you to keep all your factory radio functions while allowing you to upgrade your speakers with amplifiers. The DSR 1 interface is app based and can be found on the App Store, not sure about Android yet. I've been playing around with it on my iPad myself.
AudioControl app is at the bottom of this page.
DM-608 - AudioControl
You probably mean Fix 82 or Fix86, which are designed to interface with the TwK 88 and TwK D8. They undo the factory time alignment and EQ to send a flat clean signal to the Twk 88 or D8. The D8 version is the same as the TwK 88 but it only accepts an optical input vs the 88 which also has conventional RCA. There is a pretty good video and info here.
JL Audio » Info » TuN DSP Software I'm not sure this interface and DSP is for you if simple is what you want.
When it comes to speakers it gets very subjective and the flame wars and opinions run wild on the forums. I can't speak for Rockfords higher end component speakers because I haven't heard them or have experience with them. In fact I think many people give strong opinions about speakers that they may have never actually heard or tried. I've used some of Rockfords lower end stuff but that isn't fair.
The other issue with Component sets are the tweeters tend to be not the best, even in the $500 range and up. Every component set I've tried, I end up changing the tweeters for something better. Often they are cheaper small form factor tweeters that have to be crossed over high like 3500 hz and up, forcing the mid woofer into beaming or playing frequencies that they can't do all that well especially when they are placed down low in the door panel. I want to try the NVX X series components because they are made by SB Acoustics and have a crossover point of 1500 hz. I have the SB Acoustic version from Madisound of those tweeters in my Sienna and they are just awesome. I may also just buy those raw drivers from Madisound and just run them active, haven't decided yet.
The brands I do have experience with though are Focal, Morel, Polk, JL subs, Pioneer, Alpine, and many different home Audio raw drivers over the past three years. There are so many factors that can make or break how a speaker sounds besides the drivers themselves that it's hard to say. Just the proper installation of the woofer makes a huge difference. Some of the brands that I have not heard but have been reading about and watching with positive reviews are AudioFrog, Hertz, JL Audio, Sound Solutions Audio, Alpine Type R, NVX X series (I'm going to get these next).
If you can, try and find an Audio shop in your area and listen to them there. I would support that local business though if I did that and purchase there.
Crutchfield is great because you can try any speaker they sell and if you're not happy with them within 60 days they will give you your money back. Plan on using an amplifier that can supply the component set with at least 75% of the top RMS power range of that speaker. If you can't do that than the component set will not reach its potential especially in the mid bass region.
Ive also heard real good things about Image Dynamic component sets too. I see them being recommended by happy customers on forums a lot. Woofers Etc
https://www.woofersetc.com carrys them. For amplifiers on a tight budget I've heard that PPI is good and for a little more money Zapco looks like real nice stuff.