Would this plan work? (Stretching/yoga before cycling!)

Hey there everyone!

I want to be an cyclist and hope to lose weight/get in shape that way. I had a shoulder injury over the summer that caused me to be off my bike til now. I went to PT but haven't really done my stretches/exercises religiously....well, spring's coming up and I want to get my body prepared for biking.

My plan: Do my stretches every day, some basic strengthening exercises, and the basic weight lifting exercises a few times a week to make my body limber/build back muscle that I lost and then some. This is while logging food every day/drinking water, etc. Then after 2 or 3 weeks (longer if my shoulder needs it), I'll start biking (weather permitting!).

So here's my question: is it silly/stupid to try to have a steady stretching/yoga and light weight lifting regime before even thinking about cardio? It's my hope that this will prepare my body for actually working out....but will this do anything for me?

Additionally, do you guys have any resources for me?

Thanks!
B.