Should businesses (big or small) be allowed to kick you out because of your speech?

Should businesses, big or small — from Walmart down to a family-owned grocery store — be legally allowed to kick you out because of what you wear or say? For example, if someone wears a Nazi shirt, a KKK shirt, or has a Nazi tattoo on their body, should a business be allowed to kick them out? And, just to be fair, this applies to both the left and the right. If someone walks in wearing a pro-Palestine shirt or a Black Lives Matter shirt, should a business be allowed to kick them out too?