can cellet passive antenna and repeater be mounted on wind shield thats tinted

Technically, yes. However, it is important to note the following possible consequences:

1. The strength of reception boost inside vehicle may degrade due to reduced transmissibility of outside signal inside, due to layer of tinted screen.

2. The square area of the tint material layer between the glass and inside signal receiver MAY peel due to adhesive, should you choose to remove it in the future.

Will placing this on front driver-side window glass improve cell phone signal more, if phone is being used there most often?

Yes, but that would help very slightly so it is best to install it on glass that does not need to be rolled down such as rear-facing glass because it would be very inconvenient to not be able to roll down the front driver side window. Think about not being able to go to drive-thrus, nor roll window down for fresh air during good weather, etc.

Will this work for home use too? Signal is horrible in my area no matter the service provider. If its just stuck to the window of a house would it enhance the signal inside ?

Yes, although it is designed to enhance signal inside vehicles, it could technically work "marginally" in a house. "Marginally", because it does not contain an "amplifying" device. However, if signal is so bad as you mention, I would highly recommend a complete cell phone signal booster kit for home - They contain a powerful device called signal "amplifier" within the kit. That should definitely solve your cellular reception problem indoors over large spaces as long as there is "some" signal outside your home.

How does your smart phone connect to this antenna in your vehicle when making or receiving a call?

This antenna does not directly connect to smartphone. This is a passive system. It is not connected to any power supply. It subtly transfers signal from outside through glass to broadcast inside the vehicle. This should technically benefit all cell devices inside the vehicle simultaneously, albeit slightly. This is not a powered signal amplifier system so you will only see subtle reception improvement. This is not like car cell phone signal booster systems that require 12 volts power supply and have been tested to boost Gain up to 100dB. This is certainly not like product listed at preceding link that amplifies signals exponentially using powerful signal amplifier circuitry which is powered by 12V car power supply. This cell phone passive repeater cannot even come close to providing cell signal enhancement that such powered vehicle cell signal boosting systems provide. This cellular passive antenna signal repeater is similar to our passive WiFi repeater which helps improve wi-fi signals only slightly if only slight improvement will help get the job done. It may not help if major improvement and data speed are needed. In summary, this is a very low cost solution for only a slight improvement in cellular reception, instead of none at all.