Not really. Our first attempts at universal healthcare involved general strikes from doctors and the government standing its ground. Some of the most important legislation and infrastructure in Canadian history was done under minority governments have to work with other political parties.
I would say it would it comes down to a much healthier government with more churn and not two different flavours of the same political party. I only found out this year that in certain states the ballots contain options "Vote all Democrat" or "Vote all Republican". Enshrining political parties like that into an electoral process reminds of the Soviet Union.