The person who argued against your last proposal might want exactly what you want this time.
Why this is worth separating out
Amy Gallo, who writes on workplace conflict for Harvard Business Review, makes a distinction worth borrowing here. Most disagreements are actually two different disagreements stacked on top of each other, one about the goal, one about the process for reaching it. People who fight constantly over process, the how, can still be in complete agreement on the goal, the what. Once you separate the two, someone you find difficult to work with can turn out to be fully aligned with you on the thing that matters for this particular decision.
What this is not
This is not about tolerating someone who has actually treated you badly, or forcing a friendship that is not there. It is a narrower claim, that shared interest and personal comfort are different things, and only one of them is required for a working alliance on a specific issue.
Where this shows up more if you keep a small circle
People with a smaller, more selective set of people they naturally turn to are, by definition, ruling out more potential allies before ever checking whether the interests line up. That is a real tradeoff of a tighter circle, not a flaw in having one, but it means the check is worth doing deliberately rather than relying on who already feels comfortable to approach.
Where to start
Before your next contested decision, list the two or three people whose support would change the outcome. If someone on that list is someone you find difficult, ask specifically whether you disagree with them on the goal or just on how to get there.
If it is only the how, you have more in common with them on this particular issue than the friction between you suggests.
Reading whether a specific disagreement is actually about the goal or just the process is a judgment worth making deliberately, since the two get tangled together in the moment. What this gives you is the question worth asking before writing someone off as an ally.
There is a specific way to raise a shared goal with someone you find difficult without it sounding like you are overlooking the friction between you, and it is worth having ready before your next contested decision.