So I have goals involving bulking and getting stronger(increasing my bench, squat, curl, etc.), but recently I have put into action a goal to do 100 push ups in a row. Will lifting lighter weights help me get to this goal faster? And if won't interfere with my bulking in the process?
Getting to 100 push ups
I don't believe that lighter weights will help you achieve your 100 push up goals; here's a good program that can increase your numbers.
There are also certain exercises that might increase your push up endurance; essentially, performing more reps of tricep-based and shoulder-based exercises (dips, pull ups, bench press of a weight close yours) should assist in your endurance.
Will It Interfere With Your Bulking?
It shouldn't; while it's cardio-based, the exercise shouldn't burn enough calories to interfere with your bulking phase. Also, if you stick with it long enough, your body will naturally adapt, which will reduce the calorie impact.
Will It Impact Other Exercises?
This depends on the exercise. I expect your bench press numbers to remain stagnant or reduce while your body's adapting to the exercise. There might be an impact to your curls; there shouldn't be an impact to your squat. Essentially, your tricep and chest exercises should be affected due to the fatigue in your arms.
Of course, you might be able to structure your training so it has little impact on your other exercises; however, I don't think this is avoidable.
Just be realistic about your expectations and make adjustments as needed.