with介词短语可以理解为非限制性定语修饰tops, 也可以理解为伴随状语。

to know显然是expertise的限制性定语。expertise的语义为special skill or knowledge. 所以，skill或者knowledge不可能和不定式为同位关系。从语义上讲，不定式表示expertise是做某事所需要的技能或知识，而不是作某事本身。用这种知识或技能去做某事，所以expertise与不定式为动状关系。

以下例句选自COCA语料库，其结构与你的句子结构类似。你可体会不定式与expertise之间的逻辑关系。

He is a winsome guy with the expertise to save our economic bacon and the cool-headedness to keep us safe.

They win because they have the experience and expertise to beat their opponent. 

Israel has the military strength and technical expertise to soundly defeat anyone but a superpower.

...and they don't have the time or expertise to figure out what really works.