Will dismissal from one graduate school affect me applying to another?
Unfortunately, your transcripts are likely going to be required at time of application to any other program, and you can assume that you will be asked about your poor grades during the application process. That said, you're not the first person to have made bad decisions in the past, so I would definitely still apply.

One thing I would strongly advise not doing is attempting to hide the fact you have poor grades by simply not sending the transcript, and pretending it didn't happen. Doing so will almost guarantee career-threatening problems later on when someone finds out what you did (and it won't be hard, there will be a gap of a few years you won't be able to explain, and all the officials at the other university still know that you were there).

I have no idea about the visa.