At the time of the Louisiana Purchase, there were few, if any, French farmers in the midwest. The Quebec settlements were mostly in Quebec. Those who had ranged deeper into the continent were coureurs du bois, trading for furs, not settling and farming.

The Louisiana purchase had a provision for citizenship. The population centers were St. Louis and New Orleans. The Midwest portion was Indian territory and didn't have any farmers. Louisiana had some French speaking farmers. I don't know how they felt about the purchase.

Like everything it would be a complex mix of emotions:

• Indifference - The Spanish and French government didn't play an active role in the day to day life of Louisiana Territory, so a change in government wouldn't mean much. The French Government didn't send a representative / army detachment to it's second largest city (St. Louis) when it reclaimed the territory or for the official transfer ceremony.

*Opportunity - The new government means new opportunities for government contracts such as supplying the Lewis and Clark Expedition.

*Fear/Apprehension - The transfer of the territory opened up the land for additional settlement from the US. Some settlers had previously left the US for various reasons and were not looking forward to additional neighbors. In addition, US ownership brought US-Native American relations into question, which were worse than French - Native American relations.

http://www.stltoday.com/news/local/metro/look-back/look-back-st-louis-greets-american-control-in-with-uncertainty/article_14901b64-4d72-56bb-9d70-9b6bcab7c876.html

In 1803, the central governments of both the U.S. and France had almost zero power over most of the area of the Louisiana Purchase. The Purchase was more like a speculative investment in an undeveloped resource than anything that actually caused an immediate change in governance.