OpenGL Won't Close on Mouse Click (mouseFunc) - glutKeyboardFunc is fine?

I have my program configured to close when I press the 'q' key. It was simple enough to orchestrate after reading the glutKeyboard prototype, so I thought I would also add the option to close with the right mouse button. However, no matter what I do, I can't get this to work. I'm curious if there is some subtle difference between mouseFunc and keyboardFunc that I'm missing? Here is my code:

#define GLUT_DISABLE_ATEXIT_HACK
#include <GL/glut.h>
#include <GL/gl.h>
//#include <assert.h>

void init (void)
{

glClearColor (1.0, 1.0, 0.0, 0.0); /* Set background to yellow */
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
glOrtho(0.0, 1.0, 0.0, 1.0, -1.0, 1.0);

}

void display(void)
{

glClear (GL_COLOR_BUFFER_BIT);

glColor3f (0.0, 0.0, 1.0);

glBegin(GL_TRIANGLES);

glVertex2d (0.0, 0.0);
glVertex2d (1.0, 0.0);
glVertex2d (0.5, 0.866);

glEnd();

glFlush (); //Display immediately

}

void keyEscape( unsigned char key, int x, int y )
{
switch ( key )
{
case 113: // 'Q' key for escape
  int windowID = glutCreateWindow ("triangle");
  glutDestroyWindow (windowID);
  exit (0);
  break;
}

glutPostRedisplay();

}

void mouseEscape( int button, int state, int x, int y )
{
if (button == GLUT_RIGHT_BUTTON && state == GLUT_DOWN)
{

    int windowID = glutCreateWindow ("triangle");
    glutDestroyWindow (windowID);
    exit (0);

    glutPostRedisplay();

}

}

int main(int argc, char** argv)
{

glutInit(&argc, argv);
glutInitDisplayMode (GLUT_SINGLE | GLUT_RGB);
glutInitWindowSize (250, 250);
glutInitWindowPosition ((glutGet(GLUT_SCREEN_WIDTH)-250)/2, (glutGet(GLUT_SCREEN_HEIGHT)-250)/2);
glutCreateWindow ("triangle");
init ();
glutDisplayFunc(display);
glutKeyboardFunc(keyEscape);
glutMouseFunc(mouseEscape);
glutMainLoop();

return 0;

}

I parsed out a few more keyboard shortcuts (such as z for zooming) that all work similarly, hence my use of a switch statement as opposed to an if, but that is the only real difference I can see, and attempting to use a switch case has not worked for me either. I've also tried moving the redisplay command outside the if, to no avail. Any idea why mouse closing won't cooperate, but key closing will?