拜登竞选伙伴女副总统说：

"And to the American people, no matter who you voted for, I will strive to be a vice-president like Joe was to President Obama, loyal, honest and prepared.

waking up every day thinking of you and your family."

请教老师：

1）like Joe was to President Obama 是不是省略了like Joe was (a vice-president) to President Obama  呢？

2）waking up every day thinking of you and your family. - waking, thinking 这里有2个现在分词短语，是作谓语“(will) strive”的方式状语还是伴随状语呢？