Protected area establishment can be a source of land-use conflicts. National parks are particularly prone to such conflicts as they tend to cover large, sometimes remote, areas, involve many stakeholders, and often constitute an important venue for both tourism and outdoor recreation. Identifying potential conflict issues at an early stage is crucial to prevent further escalation and preserve public support for conservation. This article presents the findings of a nation-wide survey focusing on the establishment of the Central Highland National Park (CHNP) in Iceland, with the aim of identifying such points of contention. The results show that while the establishment of the CHNP enjoys broad public support, concerns over access restrictions are the most common reason for opposition. The majority of respondents support limiting the number of visitors to the area, which can hardly be implemented without conflicting with public access rights, deeply embedded in local culture and uses. In this remote area, access facilitation through road and accommodation development, however, appears very divisive, either seen as providing increased opportunities for the general public to enjoy the area or as threatening the authenticity of travel experiences in a wilderness destination, and paving the way for further developments. It is argued that refraining from building up roads is the most diplomatic way to limit visitor numbers without seriously impairing travel freedom, therefore preserving the wilderness qualities of the area while meeting users’ expectations. Ultimately, this study highlights the importance of public opinion research and stakeholder consultation when planning and managing tourism and outdoor recreation in wilderness settings.