No I wouldn't approach it like that although you could look at it like that if you wanted to. The notes of the major scale and all of the modes are exactly the same notes. So in essence your are playing those modes over the chords. In this case I would just think and teach to play the major scale over the complete progression.
If I hung on the V chord for two measures then the IV for one followed by the I for one measure I would then go for the Mixolydian over the V chord and go after the tones from there on the IV and I chord playing around with chord tones and tension tones to pull to the I chord. The way I use modes in a non modal progression is to use this as a base. If there is a G played for two measures then an F followed by a C. I would go directly to the G note, or possible one of the other chord tones, to start with. I can see the Mixolydian patterns all over the neck. I can mix the mixolydian and G pentatonic. Since I'm in the mindset of Mixolydian I'm thinking automatically chord tones of G and since there are two measures of G this would make sense. In my own playing I would then play around with chord tones and tension tones over the F and finally the C.
If I were teaching it to a student that knows nothing about chord tones and how things resolve I would also teach them to start with the mixolydian in this case, play around and use his ear and then try to target the C over the C or play major type licks when the C chord comes around. That would be the first step. They are getting practice with the mixolydian scale and then most likely questions would come up of why switch over to the C note and major scale licks over the C chord. This then would open the door to get more deeper into the theory side of what we are doing. I like to start it as simple as possible and go from there. My student is here so I'm off. See ya!
Back again!
My approach to modes is at first more pattern based then function based. I want my students to get used to the mode patterns and also be able to play them in real life situations. I don't want to just use them when a modal progression is being played. This is something they at first are not ready to comprehend. If they can just jam to a progression using a mode in the same way they would the major scale or the minor scale we are in a good position when it comes time to talk about subjects like actual modal playing. Also it makes it a little less intimidating when I explain thay the major and minor scale they knowalready is actually two out of the 7 modes. So they already have two down!
