Run I2C device with other sensors

Hello
I'm looking at running a mpu6050 device along with a ultrasonic sensor and xbee on my UNO. Before I begin coding, I realize that I2C devices can tie up the serial monitor on an arduino. This being, I can pull data off the mpu6050, but if I add any other sensors to the UNO the mpu6050 data will get bogged down and unusable. Is there a way to get past this where all can run somewhat in harmony?

otter:
Before I begin coding, I realize that I2C devices can tie up the serial monitor on an arduino.

Why do you think it's like this?

I'm having no problems connecting several I2C and a few other sensors to a single processor (an ESP8266 in my case) and get information on the serial monitor at the same time.