What was one reason that Patriots were more willing to go to war with britian than the loyalist?

to have more money

Explanation:

with out the money you can't buy food

The main reason of the Patriots of the American Revolution was the patriotic sentiment, also known as the Spirit of 76. The Patriots considered that the heavy-hand policies and rules issued from Britain were co-opting their freedom and self-determination, thus, the rebellion to get independency was necessary.

On the other hand, Loyalists most likely were well-established merchants or elderly people who considered that Britain was the legitimate ruler and that independency could be postponed until the "right time".