Clyde claim insufficient knowledge of Rangers newco makes it "impossible" and "irresponsible" for Scottish Football League clubs to consider admitting them at all, never mind straight into the First Division.
The SFL clubs will vote at Hampden on Friday, first of all on whether to allow Charles Green's Sevco Scotland Limited into the league set-up.
"We have received absolutely no information on the organisation Sevco Scotland Ltd whom we are being asked, and encouraged, to vote straight into the top division of the SFL under resolution 2 and possibly into SFL 3 under Resolution 1," a statement released on Clyde's official website said.
"We have no business plan, list of directors, details of ownership, statement of capital adequacy or any proposals relating to the provision of any similar information in the near future."
A series of radical reforms announced on Wednesday by the game's three governing bodies, the Scottish Football Association, the Scottish Premier League and the SFA, are a carrot for SFL clubs to vote the Govan club straight into the First Division.
The proposals include changes to the size of the leagues, the merging of the ruling bodies, the redistribution of monies, parachute payments, play-offs and a pyramid system.
Third Division Clyde say the lack of information about Rangers newco means they are finding it difficult to consider even allowing the new club into the bottom tier, although they have left the door open for information to be sent to SFL chief executive David Longmuir ahead of the meeting.
The statement read: "Whilst there is a leap of faith to be taken in terms of some of the matters, there can be no leap of faith with something as fundamental as knowing who is being admitted to the league.
"The very fact that there is no information of any kind being made available on this company undermines the authorities' efforts to direct the new entrant to SFL 1."