Complex sentence: Strong's Federalist allies in the legislature, were able to publicize the partisan nature of the analysis, and he was proclaimed the winner after further analysis, made in the face of public opinion that was hostile to the process, corrected the count in his favor.
Split into simpler sentences: Strong's Federalist allies in the legislature were able to publicize the partisan nature of the analysis, resulting in a hostile public backlash. He was proclaimed the winner after further, less biased, analysis corrected the count in his favor.