I agree with you there, the VP doesn't hold much power.
Another issue I have with Trump and his VP pick, is that if we elect him as our president, then we say to the world "Hey everything he says is okay." We further legitimize them. While we might not actually say it, him winning, means we're okay with sexual assualt, racism, homophobia, islamaphobia, xenophobia, etc. Yes, we should care about our own country, but our impact on the global scale is huge, and we just can't suddenly pull out of that. I'd argue to say it's far too late for that.
I wouldn't say that he's too prominent, I've barely heard of him. However. he's problematic too, with claims like "Everywhere without a strong Christian heritage is a ****ed up place with no morals." Also, he's just one Gay Conservative journalist, I can almost guarantee there are more Liberal ones than there are Conservative ones. Plus, just because someone is gay doesn't mean they're Pro-LGBT rights, they can be very much a homophobe.