Hey there STP!
First off, check out the following forum that goes extremely in depth about how to use strength training with cycling:
We also talked about this on the podcast here:
Once you get more into the build and specialty phases, it will be hard to do as much lifting as you are doing now just because of the fatigue you will have from the bike but during base, you can totally pull it off. If you plan on having a day when you do a TR workout and go to the gym, it is best to do the TR workout in the morning and the weight lifting in the evening (or the other way around). This should allow your body enough time to recover for your next workout.
Hope this helps!