I went from military shape (USAF, 200 miles/wk on bike, 5 hrs in gym), which was easy when in your 20's and single, to almost pure bodybuilding. I was 165 in the USAF, and able to bench almost double that, and squat nearly triple in powerlifting mode (5 days/wk, no cardio), got up to 180# at 6% bf. Then I started to get back into cycling, wanting to race. Gave the gym up, went pure riding at 300 mi/wk. Dropped to 160, and got my FTP to around 4.5 W/kg. Rode 7 days/wk. Sandbagged it as a Cat 5.

Got married and I wanted to spend weekends with the wife instead of getting 150 miles in. Started bodybuilding again. Got up to 215 this time, again below 10% bf. Had a kid, stayed 215, got fat.

I'm back to the bike (minus my accident suspending all physical activity for over 6 weeks now). I enjoy it more than any other activity (except a more private one). I'll probably get back to the weights at some point, but with the collarbone still healing, it'll be a long time.

My my point is, if you want to be fast on the bike, dedicate your time to the bike. Weights still have a place, but only for core and leg exercises, and part of making cycling better, not your body. If you want to look like a bodybuilder, dedicate to the weights and limit cardio to lifting weights faster.

If if you like riding the bike, then ride it. If you like lifting weights, then lift. If you like both, then do both.