If i'm understanding your recommendation correctly, you are saying to add a "Y" to each one (actually a "V"). Sounds doable.
Yes..
solder 2 wires to each existing wire, and then install Fastons to both the pigtails.
This allows a better continuity, and insures if one connection becomes compromised, the other will still carry load.
make sure you use equal or greater wire gauge than the oem wire for the add ons.