The colonies were too weak in the seventeenth century to think about independence, and despite some tensions with England, independence was not what they wanted.
The North American continent was crowded in the seventeenth century. The Spanish claimed Florida, and the French claimed large territories in eastern Canada and west of the Appalachians, hemming the British in. The Dutch controlled New York until the 1660s. Further, while disease and warfare had taken a toll on Native Americans, the various tribes, especially in alliance with the French, were a powerful force to contend with.
All of these other groups presented an ongoing and formidable threat to the English colonists. For instance, a joint French and Indian raid on Deerfield Massachusetts in the late 1690s led to the killing and capture of hundreds of English colonists. The colonists very much wanted the presence and backing of British troops, the British government, and the powerful British navy to deter such incursions into their territory and to provide arms, money, and men in case of trouble.
At this point, the British back home and the (white) American settlers were happy with the colonial venture, which was generating steady and substantial revenue for both groups. The British followed the system of salutary neglect, in which they did not enforce tariffs or exclusive trade agreements, turning a blind eye to colonial trade with other countries as long as the wealth kept rolling in—as it did.
This situation would not change until after the French and Indian War in the 1760s. Once the French no longer posed a threat, the Americans had very little need of the British.