Solution - 1

Well, I cannot see your attached images, but I can already tell you that you actually have 2 options. The simplest would be to redirect these pages to their respective categories using either the page-links-to plugin or a page template with a simple http redirect. You can then style the category to appear however you like, thanks to all of the dynamic classes available. Alternatively, if you have a reason for these pages to remain pages while pulling in the post loop, that is totally possible too. Below is the code you need, create a new file named page_category.php (the name is irrelevant) and paste this into it. I'll explain whats hapening after after:

<?php
/*
Template Name: Display a Category
*/
?>

<?php get_header() ?>

	<div id="container">
		<div id="content">

		<?php get_sidebar('page-top') ?>

		<?php the_post() ?>
			<div id="post-<?php the_ID(); ?>" class="<?php thematic_post_class() ?>">
    			<?php thematic_postheader(); ?>
				<div class="entry-content">
					<?php the_content() ?>
					<?php wp_link_pages("\t\t\t\t\t<div class='page-link'>".__('Pages: ', 'thematic'), "</div>\n", 'number'); ?>
					<?php edit_post_link(__('Edit', 'thematic'),'<span class="edit-link">','</span>') ?>
					
					<?php
						$temp = $wp_query;
						$categoryid = ($_GET['cat']) ? $_GET['cat'] : get_post_meta($post->ID, 'categoryid', true);
						$showposts = (get_post_meta($post->ID, 'showposts', true)) ? get_post_meta($post->ID, 'showposts', true) : 10;
						$paged = (get_query_var('paged')) ? get_query_var('paged') : 1;
						$wp_query = new WP_query('cat='.$categoryid.'&showposts='.$showposts.'&paged='.$paged); while ( have_posts() ) : the_post()
					?>
					
					<?php thematic_singlepost() ?>
					
					<?php endwhile; ?>
					<?php thematic_navigation_below();?>
					<?php  $wp_query = $temp; ?>

				</div>
			</div><!-- .post -->

			<?php if ( get_post_custom_values('comments') ) thematic_comments_template() // Add a key+value of "comments" to enable comments on this page ?>

			<?php get_sidebar('page-bottom') ?>

		</div><!-- #content -->
	</div><!-- #container -->

<?php thematic_sidebar() ?>
<?php get_footer() ?>

<?php
						$temp = $wp_query;
						$categoryid = ($_GET['cat']) ? $_GET['cat'] : get_post_meta($post->ID, 'categoryid', true);
						$showposts = (get_post_meta($post->ID, 'showposts', true)) ? get_post_meta($post->ID, 'showposts', true) : 10;
						$paged = (get_query_var('paged')) ? get_query_var('paged') : 1;
						$wp_query = new WP_query('cat='.$categoryid.'&showposts='.$showposts.'&paged='.$paged); while ( have_posts() ) : the_post()
					?>
					
					<?php thematic_singlepost() ?>
					
					<?php endwhile; ?>
					<?php thematic_navigation_below();?>
					<?php  $wp_query = $temp; ?>

Solution - 2

Here is how I modified the page.php file on thematic to accomplish what you need.

<?php

date_default_timezone_set('America/Los_Angeles');

    // calling the header.php

    get_header();



    // action hook for placing content above #container

    thematic_abovecontainer();



?>



	<div id="container">

		<div id="content">



            <?php

        

            // calling the widget area 'page-top'

            get_sidebar('page-top');



            the_post();

        

            ?>

            

			<div id="post-<?php the_ID(); ?>" class="<?php thematic_post_class() ?>">

            

                <?php 

                

                // creating the post header

                thematic_postheader();

                

                ?>

                

				<div class="entry-content">



                    <?php

                    

                    the_content();

                    

                    wp_link_pages("\t\t\t\t\t<div class='page-link'>".__('Pages: ', 'thematic'), "</div>\n", 'number');

                    

                    edit_post_link(__('Edit', 'thematic'),'<span class="edit-link">','</span>') ?>



				</div>

			</div><!-- .post -->
<?php
	//BUZU: start editing to answer http://wpquestions.com/question/show/id/260
	if(is_page('PEOPLE')){
		$peoplePage = true;
		echo "PEOPLE PAGE";
		query_posts('category_name=people');
		
		while(have_posts()){
			the_post();
			?>
				<h1><?php the_title(); ?></h1>
				<?php the_content(); ?>
			<?php
		}
	}
	//BUZU: STOP EDITING
?>



        <?php

        

        if ( get_post_custom_values('comments') ) 

            thematic_comments_template(); // Add a key/value of "comments" to enable comments on pages!

        

        // calling the widget area 'page-bottom'

        get_sidebar('page-bottom');

        

        ?>



		</div><!-- #content -->

	</div><!-- #container -->



<?php 



    // action hook for placing content below #container

    thematic_belowcontainer();



    // calling the standard sidebar 
	//BUZU edited the following line.

    if(!isset($peoplePage)){ thematic_sidebar(); }

    

    // calling footer.php

    get_footer();



?>

if(is_page('PEOPLE')){

if(is_page('News')){

query_posts('category_name=people');

query_posts('category_name=news');

Solution - 3

Or you can make the 'page.php' template a little different. If what Brian wrote doesn't work, I'll write you a tutorial how to do so.